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51053258172 = 22372199294919
BaseRepresentation
bin101111100011000000…
…101110010110111100
311212202222201020012210
4233203000232112330
51314024113230142
635241544300420
73455101351200
oct574300562674
9155688636183
1051053258172
111a719262554
129a89771710
134a78036307
142684582b00
1514dc09649c
hexbe302e5bc

51053258172 has 144 divisors (see below), whose sum is σ = 146053152000. Its totient is φ = 13801245696.

The previous prime is 51053258159. The next prime is 51053258213. The reversal of 51053258172 is 27185235015.

It is a self number, because there is not a number n which added to its sum of digits gives 51053258172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10376329 + ... + 10381247.

It is an arithmetic number, because the mean of its divisors is an integer number (1014258000).

Almost surely, 251053258172 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 51053258172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73026576000).

51053258172 is an abundant number, since it is smaller than the sum of its proper divisors (94999893828).

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

51053258172 is a wasteful number, since it uses less digits than its factorization.

51053258172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 51053258172 in words is "fifty-one billion, fifty-three million, two hundred fifty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 929 931 1596 1858 1862 2787 2793 3716 3724 4919 5574 5586 6503 9838 11148 11172 13006 14757 17651 19509 19676 26012 29514 34433 35302 39018 45521 52953 59028 68866 70604 78036 91042 93461 103299 105906 123557 136563 137732 182084 186922 206598 211812 241031 247114 273126 280383 370671 373844 413196 482062 494228 546252 560766 654227 723093 741342 864899 964124 1121532 1308454 1446186 1482684 1729798 1962681 2594697 2616908 2892372 3459596 3925362 4569751 4579589 5189394 7850724 9139502 9159178 10378788 13709253 13738767 18279004 18318356 27418506 27477534 31988257 54837012 54955068 63976514 86825269 95964771 127953028 173650538 191929542 223917799 260475807 347301076 383859084 447835598 520951614 607776883 671753397 895671196 1041903228 1215553766 1343506794 1823330649 2431107532 2687013588 3646661298 4254438181 7293322596 8508876362 12763314543 17017752724 25526629086 51053258172