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12640670304 = 253478093463
BaseRepresentation
bin10111100010111000…
…10101001001100000
31012121221122120210020
423301130111021200
5201342002422204
65450153233440
7625150632123
oct136134251140
935557576706
1012640670304
1153a7368769
122549402880
131265b00092
1487cb503ba
154deb23bd9
hex2f1715260

12640670304 has 96 divisors (see below), whose sum is σ = 33939440640. Its totient is φ = 4117619712.

The previous prime is 12640670279. The next prime is 12640670309. The reversal of 12640670304 is 40307604621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640670309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3648477 + ... + 3651939.

It is an arithmetic number, because the mean of its divisors is an integer number (353535840).

Almost surely, 212640670304 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 12640670304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969720320).

12640670304 is an abundant number, since it is smaller than the sum of its proper divisors (21298770336).

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

12640670304 is a wasteful number, since it uses less digits than its factorization.

12640670304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 12640670304 in words is "twelve billion, six hundred forty million, six hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 809 1128 1504 1618 2256 2427 3236 3463 4512 4854 6472 6926 9708 10389 12944 13852 19416 20778 25888 27704 38023 38832 41556 55408 76046 77664 83112 110816 114069 152092 162761 166224 228138 304184 325522 332448 456276 488283 608368 651044 912552 976566 1216736 1302088 1825104 1953132 2604176 2801567 3650208 3906264 5208352 5603134 7812528 8404701 11206268 15625056 16809402 22412536 33618804 44825072 67237608 89650144 131673649 134475216 263347298 268950432 395020947 526694596 790041894 1053389192 1580083788 2106778384 3160167576 4213556768 6320335152 12640670304