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29307214368 = 2533160121187
BaseRepresentation
bin11011010010110110…
…001001101000100000
32210122110200202011000
4123102312021220200
5440010121324433
621244043152000
72055155132445
oct332266115040
983573622130
1029307214368
111147a181a23
12581ab15600
1329c09b0683
1415c042b9cc
15b67dce113
hex6d2d89a20

29307214368 has 96 divisors (see below), whose sum is σ = 85536803520. Its totient is φ = 9762508800.

The previous prime is 29307214351. The next prime is 29307214381. The reversal of 29307214368 is 86341270392.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1372671 + ... + 1393857.

It is an arithmetic number, because the mean of its divisors is an integer number (891008370).

Almost surely, 229307214368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29307214368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42768401760).

29307214368 is an abundant number, since it is smaller than the sum of its proper divisors (56229589152).

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

29307214368 is a wasteful number, since it uses less digits than its factorization.

29307214368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22807 (or 22793 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 29307214368 in words is "twenty-nine billion, three hundred seven million, two hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1601 3202 4803 6404 9606 12808 14409 19212 21187 25616 28818 38424 42374 43227 51232 57636 63561 76848 84748 86454 115272 127122 153696 169496 172908 190683 230544 254244 338992 345816 381366 461088 508488 572049 677984 691632 762732 1016976 1144098 1383264 1525464 2033952 2288196 3050928 4576392 6101856 9152784 18305568 33920387 67840774 101761161 135681548 203522322 271363096 305283483 407044644 542726192 610566966 814089288 915850449 1085452384 1221133932 1628178576 1831700898 2442267864 3256357152 3663401796 4884535728 7326803592 9769071456 14653607184 29307214368