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51290409528 = 23325313996697
BaseRepresentation
bin101111110001001001…
…011000101000111000
311220101111221202201100
4233301021120220320
51320020321101103
635321255251400
73464011200441
oct576111305070
9156344852640
1051290409528
111a83010a906
129b35079b60
134ab51ca667
1426a7c762c8
151502cdd5a3
hexbf1258a38

51290409528 has 96 divisors (see below), whose sum is σ = 142552191600. Its totient is φ = 16653371904.

The previous prime is 51290409497. The next prime is 51290409539. The reversal of 51290409528 is 82590409215.

It is a happy number.

51290409528 is a `hidden beast` number, since 512 + 9 + 0 + 40 + 95 + 2 + 8 = 666.

It is a super-2 number, since 2×512904095282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 482076 + ... + 578772.

Almost surely, 251290409528 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 51290409528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71276095800).

51290409528 is an abundant number, since it is smaller than the sum of its proper divisors (91261782072).

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

51290409528 is a wasteful number, since it uses less digits than its factorization.

51290409528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96901 (or 96894 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 51290409528 in words is "fifty-one billion, two hundred ninety million, four hundred nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 139 159 212 278 318 417 424 477 556 636 834 954 1112 1251 1272 1668 1908 2502 3336 3816 5004 7367 10008 14734 22101 29468 44202 58936 66303 88404 96697 132606 176808 193394 265212 290091 386788 530424 580182 773576 870273 1160364 1740546 2320728 3481092 5124941 6962184 10249882 13440883 15374823 20499764 26881766 30749646 40322649 40999528 46124469 53763532 61499292 80645298 92248938 107527064 120967947 122998584 161290596 184497876 241935894 322581192 368995752 483871788 712366799 967743576 1424733598 2137100397 2849467196 4274200794 5698934392 6411301191 8548401588 12822602382 17096803176 25645204764 51290409528