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29064112324 = 22132792832
BaseRepresentation
bin11011000100010110…
…110010100011000100
32210000112020212211121
4123010112302203010
5434010403043244
621204000443324
72046143610232
oct330426624304
983015225747
1029064112324
1111364a2a845
125771619544
132982514900
14159a029952
15b518adc84
hex6c45b28c4

29064112324 has 81 divisors (see below), whose sum is σ = 56461782573. Its totient is φ = 13084834464.

The previous prime is 29064112291. The next prime is 29064112351. The reversal of 29064112324 is 42321146092.

The square root of 29064112324 is 170482.

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

It can be written as a sum of positive squares in only one way, i.e., 4299424900 + 24764687424 = 65570^2 + 157368^2 .

It is a super-3 number, since 3×290641123243 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29064112324.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 350169987 + ... + 350170069.

Almost surely, 229064112324 is an apocalyptic number.

29064112324 is the 170482-nd square number.

It is an amenable number.

29064112324 is a deficient number, since it is larger than the sum of its proper divisors (27397670249).

29064112324 is an equidigital number, since it uses as much as digits as its factorization.

29064112324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Multiplying 29064112324 by its product of nonzero digits (20736), we get a square (602673433150464 = 245494082).

The spelling of 29064112324 in words is "twenty-nine billion, sixty-four million, one hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 4 13 26 52 79 83 158 166 169 316 332 338 676 1027 1079 2054 2158 4108 4316 6241 6557 6889 12482 13114 13351 13778 14027 24964 26228 26702 27556 28054 53404 56108 81133 85241 89557 162266 170482 179114 324532 340964 358228 518003 544231 1036006 1054729 1088462 1108133 1164241 2072012 2109458 2176924 2216266 2328482 4218916 4432532 4656964 6734039 7075003 13468078 14150006 26936156 28300012 42994249 85988498 87542507 91975039 171976996 175085014 183950078 350170028 367900156 558925237 1117850474 2235700948 7266028081 14532056162 29064112324