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30643868832 = 2531392698537
BaseRepresentation
bin11100100010100001…
…000101010010100000
32221002121211211100220
4130202201011102200
51000224312300312
622024432243040
72133245405313
oct344241052240
987077754326
1030643868832
1111aa5735235
125b326a0480
132b748b0485
1416a9b7097a
15be540ec8c
hex7228454a0

30643868832 has 96 divisors (see below), whose sum is σ = 81329572800. Its totient is φ = 10102253568.

The previous prime is 30643868821. The next prime is 30643868861. The reversal of 30643868832 is 23886834603.

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, 3585268 + ... + 3593804.

It is an arithmetic number, because the mean of its divisors is an integer number (847183050).

Almost surely, 230643868832 is an apocalyptic number.

30643868832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30643868832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40664786400).

30643868832 is an abundant number, since it is smaller than the sum of its proper divisors (50685703968).

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

30643868832 is a wasteful number, since it uses less digits than its factorization.

30643868832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8958 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 30643868832 in words is "thirty billion, six hundred forty-three million, eight hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 269 278 417 538 556 807 834 1076 1112 1614 1668 2152 2224 3228 3336 4304 4448 6456 6672 8537 8608 12912 13344 17074 25611 25824 34148 37391 51222 68296 74782 102444 112173 136592 149564 204888 224346 273184 299128 409776 448692 598256 819552 897384 1186643 1196512 1794768 2296453 2373286 3559929 3589536 4592906 4746572 6889359 7119858 9185812 9493144 13778718 14239716 18371624 18986288 27557436 28479432 36743248 37972576 55114872 56958864 73486496 110229744 113917728 220459488 319206967 638413934 957620901 1276827868 1915241802 2553655736 3830483604 5107311472 7660967208 10214622944 15321934416 30643868832