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12703304484 = 22321329392641
BaseRepresentation
bin10111101010010110…
…10000101100100100
31012210022111201201200
423311023100230210
5202004021220414
65500311522500
7626541210063
oct136513205444
935708451650
1012703304484
115429758752
122566389430
131275a90020
148871b61da
154e5397109
hex2f52d0b24

12703304484 has 72 divisors (see below), whose sum is σ = 34699616952. Its totient is φ = 3895326720.

The previous prime is 12703304477. The next prime is 12703304489. The reversal of 12703304484 is 48440330721.

12703304484 is a `hidden beast` number, since 1 + 270 + 3 + 304 + 4 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6745008384 + 5958296100 = 82128^2 + 77190^2 .

It is a super-2 number, since 2×127033044842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12703304489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90804 + ... + 183444.

Almost surely, 212703304484 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 12703304484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349808476).

12703304484 is an abundant number, since it is smaller than the sum of its proper divisors (21996312468).

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

12703304484 is a wasteful number, since it uses less digits than its factorization.

12703304484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92957 (or 92952 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 12703304484 in words is "twelve billion, seven hundred three million, three hundred four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 293 468 586 879 1172 1758 2637 3516 3809 5274 7618 10548 11427 15236 22854 34281 45708 68562 92641 137124 185282 277923 370564 555846 833769 1111692 1204333 1667538 2408666 3335076 3612999 4817332 7225998 10838997 14451996 21677994 27143813 43355988 54287626 81431439 108575252 162862878 244294317 325725756 352869569 488588634 705739138 977177268 1058608707 1411478276 2117217414 3175826121 4234434828 6351652242 12703304484