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30983905024 = 281511934153
BaseRepresentation
bin11100110110110010…
…001101111100000000
32221222022200110022221
4130312302031330000
51001423334430044
622122300340424
72144544563422
oct346662157400
987868613287
1030983905024
111215a674486
126008544714
132bca188417
1416dcda6812
15c151cb484
hex736c8df00

30983905024 has 72 divisors (see below), whose sum is σ = 62594000672. Its totient is φ = 15305932800.

The previous prime is 30983904971. The next prime is 30983905039. The reversal of 30983905024 is 42050938903.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7458532 + ... + 7462684.

Almost surely, 230983905024 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 30983905024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31297000336).

30983905024 is an abundant number, since it is smaller than the sum of its proper divisors (31610095648).

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

30983905024 is a wasteful number, since it uses less digits than its factorization.

30983905024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 30983905024 in words is "thirty billion, nine hundred eighty-three million, nine hundred five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 151 193 256 302 386 604 772 1208 1544 2416 3088 4153 4832 6176 8306 9664 12352 16612 19328 24704 29143 33224 38656 49408 58286 66448 116572 132896 233144 265792 466288 531584 627103 801529 932576 1063168 1254206 1603058 1865152 2508412 3206116 3730304 5016824 6412232 7460608 10033648 12824464 20067296 25648928 40134592 51297856 80269184 102595712 121030879 160538368 205191424 242061758 484123516 968247032 1936494064 3872988128 7745976256 15491952512 30983905024