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51074192016 = 24323725092
BaseRepresentation
bin101111100100010000…
…100101001010010000
311212211110002210001100
4233210100211022100
51314044443121031
635244013104400
73455444316621
oct574420451220
9155743083040
1051074192016
111a72a060451
129a94788100
134a7c4857c3
142687271a48
1514ddd2dde6
hexbe4425290

51074192016 has 135 divisors (see below), whose sum is σ = 147193548411. Its totient is φ = 16532059392.

The previous prime is 51074191999. The next prime is 51074192017. The reversal of 51074192016 is 61029147015.

The square root of 51074192016 is 225996.

It is a perfect power (a square), and thus also a powerful number.

51074192016 is a `hidden beast` number, since 510 + 7 + 41 + 92 + 0 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25953210000 + 25120982016 = 161100^2 + 158496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51074192017) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100341970 + ... + 100342478.

Almost surely, 251074192016 is an apocalyptic number.

51074192016 is the 225996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51074192016

51074192016 is an abundant number, since it is smaller than the sum of its proper divisors (96119356395).

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

51074192016 is an equidigital number, since it uses as much as digits as its factorization.

51074192016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 51074192016 by its sum of digits (36), we get a square (1838670912576 = 13559762).

51074192016 divided by its sum of digits (36) gives a square (1418727556 = 376662).

The spelling of 51074192016 in words is "fifty-one billion, seventy-four million, one hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 509 592 666 888 1018 1332 1369 1527 1776 2036 2664 2738 3054 4072 4107 4581 5328 5476 6108 8144 8214 9162 10952 12216 12321 16428 18324 18833 21904 24432 24642 32856 36648 37666 49284 56499 65712 73296 75332 98568 112998 150664 169497 197136 225996 259081 301328 338994 451992 518162 677988 696821 777243 903984 1036324 1355976 1393642 1554486 2072648 2090463 2331729 2711952 2787284 3108972 4145296 4180926 4663458 5574568 6217944 6271389 8361852 9326916 9585997 11149136 12435888 12542778 16723704 18653832 19171994 25085556 28757991 33447408 37307664 38343988 50171112 57515982 76687976 86273973 100342224 115031964 153375952 172547946 230063928 345095892 354681889 460127856 690191784 709363778 1064045667 1380383568 1418727556 2128091334 2837455112 3192137001 4256182668 5674910224 6384274002 8512365336 12768548004 17024730672 25537096008 51074192016