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30972729096 = 23323374093121
BaseRepresentation
bin11100110110000111…
…100101011100001000
32221221112122122211200
4130312013211130020
51001413004312341
622121221024200
72144350565511
oct346607453410
987845578750
1030972729096
1112154330881
126004855060
132bc7a7454a
1416db6d7a08
15c1421edb6
hex7361e5708

30972729096 has 96 divisors (see below), whose sum is σ = 84366118200. Its totient is φ = 10265149440.

The previous prime is 30972729059. The next prime is 30972729101. The reversal of 30972729096 is 69092727903.

It can be written as a sum of positive squares in 4 ways, for example, as 19670062500 + 11302666596 = 140250^2 + 106314^2 .

It is a super-3 number, since 3×309727290963 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9922416 + ... + 9925536.

Almost surely, 230972729096 is an apocalyptic number.

30972729096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30972729096 is an abundant number, since it is smaller than the sum of its proper divisors (53393389104).

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

30972729096 is a wasteful number, since it uses less digits than its factorization.

30972729096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 30972729096 in words is "thirty billion, nine hundred seventy-two million, seven hundred twenty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 337 409 674 818 1011 1227 1348 1636 2022 2454 2696 3033 3121 3272 3681 4044 4908 6066 6242 7362 8088 9363 9816 12132 12484 14724 18726 24264 24968 28089 29448 37452 56178 74904 112356 137833 224712 275666 413499 551332 826998 1051777 1102664 1240497 1276489 1653996 2103554 2480994 2552978 3155331 3307992 3829467 4207108 4961988 5105956 6310662 7658934 8414216 9465993 9923976 10211912 11488401 12621324 15317868 18931986 22976802 25242648 30635736 37863972 45953604 75727944 91907208 430176793 860353586 1290530379 1720707172 2581060758 3441414344 3871591137 5162121516 7743182274 10324243032 15486364548 30972729096