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12766072992 = 253887149921
BaseRepresentation
bin10111110001110101…
…01101000010100000
31012221200121200221020
423320322231002200
5202121103313432
65510433125440
7631232554461
oct137072550240
935850550836
1012766072992
11546112a652
1225833b9880
131285a9915a
14891674d68
154eab4522c
hex2f8ead0a0

12766072992 has 48 divisors (see below), whose sum is σ = 33548945472. Its totient is φ = 4250531840.

The previous prime is 12766072877. The next prime is 12766073003. The reversal of 12766072992 is 29927066721.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10192 + ... + 160112.

It is an arithmetic number, because the mean of its divisors is an integer number (698936364).

Almost surely, 212766072992 is an apocalyptic number.

12766072992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12766072992 is an abundant number, since it is smaller than the sum of its proper divisors (20782872480).

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

12766072992 is a wasteful number, since it uses less digits than its factorization.

12766072992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150821 (or 150813 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 12766072992 in words is "twelve billion, seven hundred sixty-six million, seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 887 1774 2661 3548 5322 7096 10644 14192 21288 28384 42576 85152 149921 299842 449763 599684 899526 1199368 1799052 2398736 3598104 4797472 7196208 14392416 132979927 265959854 398939781 531919708 797879562 1063839416 1595759124 2127678832 3191518248 4255357664 6383036496 12766072992