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29904165216 = 2532109394999
BaseRepresentation
bin11011110110011011…
…010101100101100000
32212012001221222202200
4123312123111211200
5442220431241331
621423210013200
72106024132102
oct336633254540
985161858680
1029904165216
1111756137a32
125966a17200
132a8757c423
14163981d572
15ba04e85e6
hex6f66d5960

29904165216 has 72 divisors (see below), whose sum is σ = 85118670000. Its totient is φ = 9958830336.

The previous prime is 29904165199. The next prime is 29904165217. The reversal of 29904165216 is 61256140992.

29904165216 is a `hidden beast` number, since 29 + 90 + 4 + 16 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29904165217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267285 + ... + 362283.

It is an arithmetic number, because the mean of its divisors is an integer number (1182203750).

Almost surely, 229904165216 is an apocalyptic number.

It is an amenable number.

29904165216 is an abundant number, since it is smaller than the sum of its proper divisors (55214504784).

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

29904165216 is a wasteful number, since it uses less digits than its factorization.

29904165216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96108 (or 96097 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 29904165216 in words is "twenty-nine billion, nine hundred four million, one hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1093 2186 3279 4372 6558 8744 9837 13116 17488 19674 26232 34976 39348 52464 78696 94999 104928 157392 189998 284997 314784 379996 569994 759992 854991 1139988 1519984 1709982 2279976 3039968 3419964 4559952 6839928 9119904 13679856 27359712 103833907 207667814 311501721 415335628 623003442 830671256 934505163 1246006884 1661342512 1869010326 2492013768 3322685024 3738020652 4984027536 7476041304 9968055072 14952082608 29904165216