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51608182152 = 233291572332027
BaseRepresentation
bin110000000100000101…
…100101110110001000
311221012122220021210210
4300010011211312020
51321143143312102
635413010241120
73504620211312
oct600405456610
9157178807723
1051608182152
111a98352310a
12a0035861a0
134b35cabab7
1426d81547b2
151520b5d36c
hexc04165d88

51608182152 has 128 divisors (see below), whose sum is σ = 134962588800. Its totient is φ = 16424798208.

The previous prime is 51608182117. The next prime is 51608182183. The reversal of 51608182152 is 25128180615.

It is a super-2 number, since 2×516081821522 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51608182152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25459363 + ... + 25461389.

It is an arithmetic number, because the mean of its divisors is an integer number (1054395225).

Almost surely, 251608182152 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 51608182152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67481294400).

51608182152 is an abundant number, since it is smaller than the sum of its proper divisors (83354406648).

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

51608182152 is a wasteful number, since it uses less digits than its factorization.

51608182152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The spelling of 51608182152 in words is "fifty-one billion, six hundred eight million, one hundred eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 157 174 232 233 314 348 466 471 628 696 699 932 942 1256 1398 1864 1884 2027 2796 3768 4054 4553 5592 6081 6757 8108 9106 12162 13514 13659 16216 18212 20271 24324 27028 27318 36424 36581 40542 48648 54056 54636 58783 73162 81084 109272 109743 117566 146324 162168 176349 219486 235132 292648 318239 352698 438972 470264 472291 636478 705396 877944 944582 954717 1060849 1272956 1410792 1416873 1889164 1909434 2121698 2545912 2833746 3182547 3778328 3818868 4243396 5667492 6365094 7637736 8486792 9228931 11334984 12730188 13696439 18457862 25460376 27392878 27686793 36915724 41089317 54785756 55373586 73831448 74149687 82178634 109571512 110747172 148299374 164357268 221494344 222449061 296598748 328714536 444898122 593197496 889796244 1779592488 2150340923 4300681846 6451022769 8601363692 12902045538 17202727384 25804091076 51608182152