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29109819456 = 263271092
BaseRepresentation
bin11011000111000101…
…001001100001000000
32210010201021001020100
4123013011021201000
5434104103210311
621212312242400
72050240245204
oct330705114100
983121231210
1029109819456
1111388809233
1257849a0400
13298bb29053
1415a2126b04
15b558dba56
hex6c7149840

29109819456 has 63 divisors (see below), whose sum is σ = 83449780141. Its totient is φ = 9701908224.

The previous prime is 29109819451. The next prime is 29109819463. The reversal of 29109819456 is 65491890192.

The square root of 29109819456 is 170616.

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

29109819456 is a `hidden beast` number, since 2 + 9 + 109 + 81 + 9 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4171093056 + 24938726400 = 64584^2 + 157920^2 .

It is a super-2 number, since 2×291098194562 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29109819451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4091230 + ... + 4098338.

Almost surely, 229109819456 is an apocalyptic number.

29109819456 is the 170616-th square number.

It is an amenable number.

29109819456 is an abundant number, since it is smaller than the sum of its proper divisors (54339960685).

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

29109819456 is an frugal number, since it uses more digits than its factorization.

29109819456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14236 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 29109819456 in words is "twenty-nine billion, one hundred nine million, eight hundred nineteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 7109 14218 21327 28436 42654 56872 63981 85308 113744 127962 170616 227488 255924 341232 454976 511848 682464 1023696 1364928 2047392 4094784 50537881 101075762 151613643 202151524 303227286 404303048 454840929 606454572 808606096 909681858 1212909144 1617212192 1819363716 2425818288 3234424384 3638727432 4851636576 7277454864 9703273152 14554909728 29109819456