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51041434304 = 2671759113591
BaseRepresentation
bin101111100010010011…
…100111101011000000
311212202011110111220202
4233202103213223000
51314013101344204
635240443024332
73454566014240
oct574223475300
9155664414822
1051041434304
111a712617063
129a8580b0a8
134a75756543
142682b85b20
1514db00ce1e
hexbe24e7ac0

51041434304 has 112 divisors (see below), whose sum is σ = 124642229760. Its totient is φ = 20239011840.

The previous prime is 51041434267. The next prime is 51041434307. The reversal of 51041434304 is 40343414015.

It is a happy number.

51041434304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (51041434307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392549 + ... + 506139.

Almost surely, 251041434304 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 51041434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62321114880).

51041434304 is an abundant number, since it is smaller than the sum of its proper divisors (73600795456).

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

51041434304 is a wasteful number, since it uses less digits than its factorization.

51041434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113686 (or 113676 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 51041434304 its reverse (40343414015), we get a palindrome (91384848319).

The spelling of 51041434304 in words is "fifty-one billion, forty-one million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 59 64 68 112 118 119 136 224 236 238 272 413 448 472 476 544 826 944 952 1003 1088 1652 1888 1904 2006 3304 3776 3808 4012 6608 7021 7616 8024 13216 14042 16048 26432 28084 32096 56168 64192 112336 113591 224672 227182 449344 454364 795137 908728 1590274 1817456 1931047 3180548 3634912 3862094 6361096 6701869 7269824 7724188 12722192 13403738 13517329 15448376 25444384 26807476 27034658 30896752 46913083 50888768 53614952 54069316 61793504 93826166 107229904 108138632 113931773 123587008 187652332 214459808 216277264 227863546 375304664 428919616 432554528 455727092 750609328 797522411 865109056 911454184 1501218656 1595044822 1822908368 3002437312 3190089644 3645816736 6380179288 7291633472 12760358576 25520717152 51041434304