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200013845575152 = 24376121134618399
BaseRepresentation
bin101101011110100101011010…
…001101110011010111110000
3222020012010200210112011002010
4231132211122031303113300
5202204011323431401102
61545221031524122520
760062344356624030
oct5536453215632760
9866163623464063
10200013845575152
1158804439527944
121a524034236440
13877b2bc8acabb
143756a167bd8c0
15181cc4486bd6c
hexb5e95a3735f0

200013845575152 has 160 divisors (see below), whose sum is σ = 600481855590400. Its totient is φ = 56183365877760.

The previous prime is 200013845575151. The next prime is 200013845575153. The reversal of 200013845575152 is 251575548310002.

It is an interprime number because it is at equal distance from previous prime (200013845575151) and next prime (200013845575153).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200013845575151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40998849 + ... + 45617247.

It is an arithmetic number, because the mean of its divisors is an integer number (3753011597440).

Almost surely, 2200013845575152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200013845575152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300240927795200).

200013845575152 is an abundant number, since it is smaller than the sum of its proper divisors (400468010015248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200013845575152 is a wasteful number, since it uses less digits than its factorization.

200013845575152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620591 (or 4620585 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 48.

The spelling of 200013845575152 in words is "two hundred trillion, thirteen billion, eight hundred forty-five million, five hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2113 2562 2928 3416 4226 5124 6339 6832 8452 10248 12678 14791 16904 20496 25356 29582 33808 44373 50712 59164 88746 101424 118328 128893 177492 236656 257786 354984 386679 515572 709968 773358 902251 1031144 1546716 1804502 2062288 2706753 3093432 3609004 4618399 5413506 6186864 7218008 9236798 10827012 13855197 14436016 18473596 21654024 27710394 32328793 36947192 43308048 55420788 64657586 73894384 96986379 110841576 129315172 193972758 221683152 258630344 281722339 387945516 517260688 563444678 775891032 845167017 1126889356 1551782064 1690334034 1972056373 2253778712 3380668068 3944112746 4507557424 5916169119 6761336136 7888225492 9758677087 11832338238 13522672272 15776450984 19517354174 23664676476 29276031261 31552901968 39034708348 47329352952 58552062522 68310739609 78069416696 94658705904 117104125044 136621479218 156138833392 204932218827 234208250088 273242958436 409864437654 468416500176 546485916872 595279302307 819728875308 1092971833744 1190558604614 1639457750616 1785837906921 2381117209228 3278915501232 3571675813842 4166955116149 4762234418456 7143351627684 8333910232298 9524468836912 12500865348447 14286703255368 16667820464596 25001730696894 28573406510736 33335640929192 50003461393788 66671281858384 100006922787576 200013845575152