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5016600120 = 2335722726309
BaseRepresentation
bin1001010110000001…
…10011111000111000
3110221121121200122110
410223000303320320
540233222200440
62145443052320
7235213253220
oct45300637070
913847550573
105016600120
112144815a14
12b800710a0
1361c42164c
14358383080
151e5635080
hex12b033e38

5016600120 has 128 divisors (see below), whose sum is σ = 17276198400. Its totient is φ = 1141556736.

The previous prime is 5016600109. The next prime is 5016600133. The reversal of 5016600120 is 210066105.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177526 + ... + 203834.

It is an arithmetic number, because the mean of its divisors is an integer number (134970300).

Almost surely, 25016600120 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 5016600120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638099200).

5016600120 is an abundant number, since it is smaller than the sum of its proper divisors (12259598280).

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

5016600120 is a wasteful number, since it uses less digits than its factorization.

5016600120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26557 (or 26553 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 5016600120 is about 70827.9614276735. The cubic root of 5016600120 is about 1711.8662433349.

Adding to 5016600120 its reverse (210066105), we get a palindrome (5226666225).

The spelling of 5016600120 in words is "five billion, sixteen million, six hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 227 280 420 454 681 840 908 1135 1362 1589 1816 2270 2724 3178 3405 4540 4767 5448 6356 6810 7945 9080 9534 12712 13620 15890 19068 23835 26309 27240 31780 38136 47670 52618 63560 78927 95340 105236 131545 157854 184163 190680 210472 263090 315708 368326 394635 526180 552489 631416 736652 789270 920815 1052360 1104978 1473304 1578540 1841630 2209956 2762445 3157080 3683260 4419912 5524890 5972143 7366520 11049780 11944286 17916429 22099560 23888572 29860715 35832858 41805001 47777144 59721430 71665716 83610002 89582145 119442860 125415003 143331432 167220004 179164290 209025005 238885720 250830006 334440008 358328580 418050010 501660012 627075015 716657160 836100020 1003320024 1254150030 1672200040 2508300060 5016600120