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51412520432 = 24713195633301
BaseRepresentation
bin101111111000011011…
…001100110111110000
311220201000201122101102
4233320123030313300
51320243101123212
635341340423532
73500023133060
oct577033146760
9156630648342
1051412520432
111a893033609
129b69b47ba8
134b045b3330
1426ba1813a0
15150d8ae5c2
hexbf86ccdf0

51412520432 has 160 divisors (see below), whose sum is σ = 129320056320. Its totient is φ = 19228492800.

The previous prime is 51412520407. The next prime is 51412520479. The reversal of 51412520432 is 23402521415.

It is a junction number, because it is equal to n+sod(n) for n = 51412520395 and 51412520404.

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, 15573182 + ... + 15576482.

It is an arithmetic number, because the mean of its divisors is an integer number (808250352).

Almost surely, 251412520432 is an apocalyptic number.

51412520432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51412520432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64660028160).

51412520432 is an abundant number, since it is smaller than the sum of its proper divisors (77907535888).

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

51412520432 is a wasteful number, since it uses less digits than its factorization.

51412520432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 51412520432 in words is "fifty-one billion, four hundred twelve million, five hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 563 728 988 1064 1126 1456 1729 1976 2128 2252 3301 3458 3941 3952 4504 6602 6916 7319 7882 9008 10697 13204 13832 14638 15764 21394 23107 26408 27664 29276 31528 42788 42913 46214 51233 52816 58552 62719 63056 74879 85576 85826 92428 102466 117104 125438 139061 149758 171152 171652 184856 204932 250876 278122 299516 300391 343304 369712 409864 439033 501752 556244 599032 600782 686608 815347 819728 878066 973427 1003504 1112488 1198064 1201564 1630694 1756132 1858463 1946854 2224976 2403128 3261388 3512264 3716926 3893708 4806256 5707429 6522776 7024528 7433852 7787416 11414858 13009241 13045552 14867704 15574832 22829716 24160019 26018482 29735408 35310797 45659432 48320038 52036964 70621594 91318864 96640076 104073928 141243188 169120133 193280152 208147856 247175579 282486376 338240266 386560304 459040361 494351158 564972752 676480532 918080722 988702316 1352961064 1836161444 1977404632 2705922128 3213282527 3672322888 3954809264 6426565054 7344645776 12853130108 25706260216 51412520432