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51664015053 = 33717192393541
BaseRepresentation
bin110000000111011010…
…100100111011001101
311221100112221220011000
4300013122210323031
51321301441440203
635422323050513
73506165611410
oct600732447315
9157315856130
1051664015053
111aa01a98202
12a01a210a39
134b4472a111
142701729b77
1515259db4a3
hexc076a4ecd

51664015053 has 128 divisors (see below), whose sum is σ = 97929216000. Its totient is φ = 26205742080.

The previous prime is 51664015043. The next prime is 51664015093. The reversal of 51664015053 is 35051046615.

51664015053 is a `hidden beast` number, since 5 + 1 + 6 + 640 + 1 + 5 + 0 + 5 + 3 = 666.

51664015053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51664015053 - 29 = 51664014541 is a prime.

It is a super-2 number, since 2×516640150532 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51664014999 and 51664015017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51664015043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14588463 + ... + 14592003.

It is an arithmetic number, because the mean of its divisors is an integer number (765072000).

Almost surely, 251664015053 is an apocalyptic number.

It is an amenable number.

51664015053 is a deficient number, since it is larger than the sum of its proper divisors (46265200947).

51664015053 is a wasteful number, since it uses less digits than its factorization.

51664015053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 51664015053 in words is "fifty-one billion, six hundred sixty-four million, fifteen thousand, fifty-three".

Divisors: 1 3 7 9 17 19 21 27 51 57 63 119 133 153 171 189 239 323 357 399 459 513 717 969 1071 1197 1673 2151 2261 2907 3213 3541 3591 4063 4541 5019 6453 6783 8721 10623 12189 13623 15057 20349 24787 28441 31787 31869 36567 40869 45171 60197 61047 67279 74361 77197 85323 95361 95607 109701 122607 180591 201837 223083 231591 255969 286083 421379 470953 540379 541773 605511 669249 694773 767907 846299 858249 1143743 1264137 1412859 1621137 1625319 1816533 2084319 2538897 3431229 3792411 4238577 4863411 5924093 7616691 8006201 10293687 11377233 12715731 14387083 14590233 16079681 17772279 22850073 24018603 30881061 43161249 48239043 53316837 72055809 100709581 112557767 129483747 144717129 159950511 216167427 273354577 302128743 337673301 388451241 434151387 820063731 906386229 1013019903 1913482039 2460191193 2719158687 3039059709 5740446117 7380573579 17221338351 51664015053