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13004644992 = 2731371791381
BaseRepresentation
bin11000001110010001…
…10010001010000000
31020120022112102012020
430013020302022000
5203113142114432
65550234401440
7640160441613
oct140710621200
936508472166
1013004644992
115573868299
12262b290280
1312c333a011
148b521817a
15511a6d22c
hex307232280

13004644992 has 128 divisors (see below), whose sum is σ = 35015457600. Its totient is φ = 4276101120.

The previous prime is 13004644979. The next prime is 13004644999. The reversal of 13004644992 is 29944640031.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13004644999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9416142 + ... + 9417522.

Almost surely, 213004644992 is an apocalyptic number.

13004644992 is a gapful number since it is divisible by the number (12) 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 13004644992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17507728800).

13004644992 is an abundant number, since it is smaller than the sum of its proper divisors (22010812608).

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

13004644992 is a wasteful number, since it uses less digits than its factorization.

13004644992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 13004644992 in words is "thirteen billion, four million, six hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 179 192 274 358 384 411 537 548 716 822 1074 1096 1381 1432 1644 2148 2192 2762 2864 3288 4143 4296 4384 5524 5728 6576 8286 8592 8768 11048 11456 13152 16572 17184 17536 22096 22912 24523 26304 33144 34368 44192 49046 52608 66288 68736 73569 88384 98092 132576 147138 176768 189197 196184 247199 265152 294276 378394 392368 494398 530304 567591 588552 741597 756788 784736 988796 1135182 1177104 1483194 1513576 1569472 1977592 2270364 2354208 2966388 3027152 3138944 3955184 4540728 4708416 5932776 6054304 7910368 9081456 9416832 11865552 12108608 15820736 18162912 23731104 24217216 31641472 33866263 36325824 47462208 67732526 72651648 94924416 101598789 135465052 203197578 270930104 406395156 541860208 812790312 1083720416 1625580624 2167440832 3251161248 4334881664 6502322496 13004644992