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29980229904 = 24324723072
BaseRepresentation
bin11011111010111101…
…100000000100010000
32212101101002110220100
4123322331200010100
5442344414324104
621434524212400
72110636515042
oct337275400420
985341073810
1029980229904
1111795070509
12598839a100
132a9a262511
14164597da92
15ba7021139
hex6faf60110

29980229904 has 135 divisors (see below), whose sum is σ = 86006305047. Its totient is φ = 9748924992.

The previous prime is 29980229893. The next prime is 29980229989. The reversal of 29980229904 is 40992208992.

The square root of 29980229904 is 173148.

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

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, 97655319 + ... + 97655625.

Almost surely, 229980229904 is an apocalyptic number.

29980229904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29980229904 is the 173148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29980229904

29980229904 is an abundant number, since it is smaller than the sum of its proper divisors (56026075143).

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

29980229904 is an equidigital number, since it uses as much as digits as its factorization.

29980229904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 29980229904 in words is "twenty-nine billion, nine hundred eighty million, two hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 307 376 423 564 614 752 846 921 1128 1228 1692 1842 2209 2256 2456 2763 3384 3684 4418 4912 5526 6627 6768 7368 8836 11052 13254 14429 14736 17672 19881 22104 26508 28858 35344 39762 43287 44208 53016 57716 79524 86574 94249 106032 115432 129861 159048 173148 188498 230864 259722 282747 318096 346296 376996 519444 565494 678163 692592 753992 848241 1038888 1130988 1356326 1507984 1696482 2034489 2077776 2261976 2712652 3392964 4068978 4429703 4523952 5425304 6103467 6785928 8137956 8859406 10850608 12206934 13289109 13571856 16275912 17718812 24413868 26578218 32551824 35437624 39867327 48827736 53156436 70875248 79734654 97655472 106312872 159469308 208196041 212625744 318938616 416392082 624588123 637877232 832784164 1249176246 1665568328 1873764369 2498352492 3331136656 3747528738 4996704984 7495057476 9993409968 14990114952 29980229904