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12953214976 = 21313121631
BaseRepresentation
bin11000001000001001…
…00110000000000000
31020102201202111110211
430010010212000000
5203012010334401
65541200203504
7635664340102
oct140404460000
936381674424
1012953214976
115547830149
122616009594
1312b57a0a60
148ac46b572
1550c2ae951
hex304126000

12953214976 has 56 divisors (see below), whose sum is σ = 27897758784. Its totient is φ = 5978357760.

The previous prime is 12953214961. The next prime is 12953214977. The reversal of 12953214976 is 67941235921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953214977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45681 + ... + 167311.

It is an arithmetic number, because the mean of its divisors is an integer number (498174264).

Almost surely, 212953214976 is an apocalyptic number.

12953214976 is a gapful number since it is divisible by the number (16) 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 12953214976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948879392).

12953214976 is an abundant number, since it is smaller than the sum of its proper divisors (14944543808).

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

12953214976 is an equidigital number, since it uses as much as digits as its factorization.

12953214976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121670 (or 121646 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The spelling of 12953214976 in words is "twelve billion, nine hundred fifty-three million, two hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 26624 53248 106496 121631 243262 486524 973048 1581203 1946096 3162406 3892192 6324812 7784384 12649624 15568768 25299248 31137536 50598496 62275072 101196992 124550144 202393984 249100288 404787968 498200576 809575936 996401152 1619151872 3238303744 6476607488 12953214976