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49144444403152 = 24753367129717393
BaseRepresentation
bin10110010110010010101010…
…01001101011110111010000
320110000011101211100210101011
423023021111021223313100
522420140310231400102
6252304351315420304
713231366101014020
oct1313112511536720
9213004354323334
1049144444403152
111472805074419a
125618632bb4694
1321563bba28197
14c1c864b85a80
155a355e3c52d7
hex2cb25526bdd0

49144444403152 has 160 divisors (see below), whose sum is σ = 111267266153472. Its totient is φ = 20591130673152.

The previous prime is 49144444403137. The next prime is 49144444403183. The reversal of 49144444403152 is 25130444444194.

49144444403152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49144444403096 and 49144444403105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2825521368 + ... + 2825538760.

Almost surely, 249144444403152 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 49144444403152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55633633076736).

49144444403152 is an abundant number, since it is smaller than the sum of its proper divisors (62122821750320).

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

49144444403152 is a wasteful number, since it uses less digits than its factorization.

49144444403152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19125 (or 19119 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 49.

The spelling of 49144444403152 in words is "forty-nine trillion, one hundred forty-four billion, four hundred forty-four million, four hundred three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 367 371 424 734 742 848 1297 1468 1484 2569 2594 2936 2968 5138 5188 5872 5936 9079 10276 10376 17393 18158 19451 20552 20752 34786 36316 38902 41104 68741 69572 72632 77804 121751 136157 137482 139144 145264 155608 243502 272314 274964 278288 311216 475999 481187 487004 544628 549928 921829 951998 962374 974008 1089256 1099856 1843658 1903996 1924748 1948016 2178512 3331993 3687316 3807992 3849496 6383231 6452803 6663986 7374632 7615984 7698992 12766462 12905606 13327972 14749264 22558721 25227947 25532924 25811212 26655944 44682617 45117442 50455894 51065848 51622424 53311888 89365234 90234884 100911788 102131696 103244848 157911047 176595629 178730468 180469768 201823576 315822094 338311243 353191258 357460936 360939536 403647152 631644188 676622486 706382516 714921872 1195612213 1263288376 1353244972 1412765032 2368178701 2391224426 2526576752 2706489944 2825530064 4736357402 4782448852 5412979888 8279050607 8369285491 9472714804 9564897704 16558101214 16738570982 18945429608 19129795408 33116202428 33477141964 37890859216 57953354249 66232404856 66954283928 115906708498 132464809712 133908567856 231813416996 438789682171 463626833992 877579364342 927253667984 1755158728684 3071527775197 3510317457368 6143055550394 7020634914736 12286111100788 24572222201576 49144444403152