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30859930656 = 2532472122697
BaseRepresentation
bin11100101111011001…
…010010110000100000
32221122200101220110200
4130233121102300200
51001200120240111
622102111225200
72141511040212
oct345731226040
987580356420
1030859930656
11120a6698725
125b92b18200
132baa59c4c9
1416ca7345b2
15c0938d256
hex72f652c20

30859930656 has 72 divisors (see below), whose sum is σ = 87780383964. Its totient is φ = 10284011520.

The previous prime is 30859930639. The next prime is 30859930667. The reversal of 30859930656 is 65603995803.

It can be written as a sum of positive squares in 2 ways, for example, as 27252727056 + 3607203600 = 165084^2 + 60060^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1348300 + ... + 1370996.

Almost surely, 230859930656 is an apocalyptic number.

30859930656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30859930656 is an abundant number, since it is smaller than the sum of its proper divisors (56920453308).

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

30859930656 is a wasteful number, since it uses less digits than its factorization.

30859930656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27434 (or 27423 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 30859930656 in words is "thirty billion, eight hundred fifty-nine million, nine hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4721 9442 14163 18884 22697 28326 37768 42489 45394 56652 68091 75536 84978 90788 113304 136182 151072 169956 181576 204273 226608 272364 339912 363152 408546 453216 544728 679824 726304 817092 1089456 1359648 1634184 2178912 3268368 6536736 107152537 214305074 321457611 428610148 642915222 857220296 964372833 1285830444 1714440592 1928745666 2571660888 3428881184 3857491332 5143321776 7714982664 10286643552 15429965328 30859930656