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12977865974420 = 2256110637595061
BaseRepresentation
bin1011110011011010010100…
…0101110110001010010100
31200221200010210102112021022
42330312211011312022110
53200112132142140140
643333541015340312
72506422421444514
oct274664505661224
950850123375238
1012977865974420
114153978012776
121557245081698
13731a6613b569
1432c1bc557844
151778b63d20b5
hexbcda5176294

12977865974420 has 24 divisors (see below), whose sum is σ = 27700297541448. Its totient is φ = 5106045628800.

The previous prime is 12977865974407. The next prime is 12977865974471. The reversal of 12977865974420 is 2447956877921.

12977865974420 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 1776179914756 + 11201686059664 = 1332734^2 + 3346892^2 .

It is a congruent number.

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, 5318796311 + ... + 5318798750.

It is an arithmetic number, because the mean of its divisors is an integer number (1154179064227).

Almost surely, 212977865974420 is an apocalyptic number.

12977865974420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12977865974420 is an abundant number, since it is smaller than the sum of its proper divisors (14722431567028).

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

12977865974420 is a wasteful number, since it uses less digits than its factorization.

12977865974420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10637595131 (or 10637595129 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 71.

The spelling of 12977865974420 in words is "twelve trillion, nine hundred seventy-seven billion, eight hundred sixty-five million, nine hundred seventy-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 10637595061 21275190122 42550380244 53187975305 106375950610 212751901220 648893298721 1297786597442 2595573194884 3244466493605 6488932987210 12977865974420