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12710272643380 = 2251348885664013
BaseRepresentation
bin1011100011110101011101…
…0010010011000100110100
31200000002102202100212001201
42320331113102103010310
53131221114244042010
643011004005502244
72451200255611444
oct270752722230464
950002382325051
1012710272643380
11406043a607514
121513404711984
1371275c187020
1431d275338124
15170953c8e23a
hexb8f57493134

12710272643380 has 24 divisors (see below), whose sum is σ = 28744770440232. Its totient is φ = 4693023745152.

The previous prime is 12710272643371. The next prime is 12710272643381. The reversal of 12710272643380 is 8334627201721.

12710272643380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8133875344 + 12702138768036 = 90188^2 + 3564006^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12710272643380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12710272643381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24442831747 + ... + 24442832266.

It is an arithmetic number, because the mean of its divisors is an integer number (1197698768343).

Almost surely, 212710272643380 is an apocalyptic number.

12710272643380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12710272643380 is an abundant number, since it is smaller than the sum of its proper divisors (16034497796852).

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

12710272643380 is a wasteful number, since it uses less digits than its factorization.

12710272643380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48885664035 (or 48885664033 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 12710272643380 in words is "twelve trillion, seven hundred ten billion, two hundred seventy-two million, six hundred forty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 48885664013 97771328026 195542656052 244428320065 488856640130 635513632169 977713280260 1271027264338 2542054528676 3177568160845 6355136321690 12710272643380