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51378835712 = 2819193229239
BaseRepresentation
bin101111110110011010…
…101101000100000000
311220121200100021122012
4233312122231010000
51320210440220322
635334134432052
73466133616641
oct576632550400
9156550307565
1051378835712
111a8760167a6
129b5a802628
134aca61b149
1426b58d36c8
15150a958ae2
hexbf66ad100

51378835712 has 144 divisors (see below), whose sum is σ = 109443936000. Its totient is φ = 24004657152.

The previous prime is 51378835663. The next prime is 51378835727. The reversal of 51378835712 is 21753887315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214974089 + ... + 214974327.

Almost surely, 251378835712 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 51378835712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54721968000).

51378835712 is an abundant number, since it is smaller than the sum of its proper divisors (58065100288).

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

51378835712 is a wasteful number, since it uses less digits than its factorization.

51378835712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 50.

The spelling of 51378835712 in words is "fifty-one billion, three hundred seventy-eight million, eight hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 193 229 239 256 304 386 458 478 608 772 916 956 1216 1544 1832 1912 2432 3088 3664 3667 3824 4351 4541 4864 6176 7328 7334 7648 8702 9082 12352 14656 14668 15296 17404 18164 24704 29312 29336 30592 34808 36328 44197 46127 49408 54731 58624 58672 61184 69616 72656 88394 92254 109462 117344 139232 145312 176788 184508 218924 234688 278464 290624 353576 369016 437848 469376 556928 581248 707152 738032 839743 875696 876413 938752 1039889 1113856 1162496 1414304 1476064 1679486 1751392 1752826 2079778 2828608 2952128 3358972 3502784 3505652 4159556 5657216 5904256 6717944 7005568 7011304 8319112 10563083 11314432 11808512 13435888 14011136 14022608 16638224 21126166 26871776 28045216 33276448 42252332 53743552 56090432 66552896 84504664 107487104 112180864 133105792 169009328 200698577 214974208 224361728 266211584 338018656 401397154 676037312 802794308 1352074624 1605588616 2704149248 3211177232 6422354464 12844708928 25689417856 51378835712