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29131333313192 = 23114159136849061
BaseRepresentation
bin1101001111110101010101…
…10001100010001010101000
310211010221001201001220110222
412213322222301202022220
512304241432312010232
6141542425541225212
76064445411363045
oct647725261421250
9124127051056428
1029131333313192
119311590226220
123325a20702208
1313340c4348266
14729d6d5221cc
15357b8d496d12
hex1a7eaac622a8

29131333313192 has 64 divisors (see below), whose sum is σ = 62074734523200. Its totient is φ = 12699592768000.

The previous prime is 29131333313179. The next prime is 29131333313209.

29131333313192 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×291313333131922 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68211659 + ... + 68637402.

It is an arithmetic number, because the mean of its divisors is an integer number (969917726925).

Almost surely, 229131333313192 is an apocalyptic number.

29131333313192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29131333313192 is an abundant number, since it is smaller than the sum of its proper divisors (32943401210008).

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

29131333313192 is a wasteful number, since it uses less digits than its factorization.

29131333313192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136849178 (or 136849174 counting only the distinct ones).

The product of its digits is 236196, while the sum is 44.

The spelling of 29131333313192 in words is "twenty-nine trillion, one hundred thirty-one billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 22 41 44 59 82 88 118 164 236 328 451 472 649 902 1298 1804 2419 2596 3608 4838 5192 9676 19352 26609 53218 106436 212872 136849061 273698122 547396244 1094792488 1505339671 3010679342 5610811501 6021358684 8074094599 11221623002 12042717368 16148189198 22443246004 32296378396 44886492008 61718926511 64592756792 88815040589 123437853022 177630081178 246875706044 331037878559 355260162356 493751412088 662075757118 710520324712 1324151514236 2648303028472 3641416664149 7282833328298 14565666656596 29131333313192