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13766672455128 = 2332255774776607
BaseRepresentation
bin1100100001010100110110…
…0111110001010111011000
31210202002012001222120110100
43020111031213301113120
53301023121122031003
645140153320015400
72620415656060515
oct310251547612730
953662161876410
1013766672455128
11442845a78277a
1216640a6901560
1378b265065028
1435844c03630c
1518d181b5aba3
hexc854d9f15d8

13766672455128 has 48 divisors (see below), whose sum is σ = 37299319836480. Its totient is φ = 4587096118464.

The previous prime is 13766672455127. The next prime is 13766672455147. The reversal of 13766672455128 is 82155427666731.

13766672455128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13766672455121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37204200 + ... + 37572407.

It is an arithmetic number, because the mean of its divisors is an integer number (777069163260).

Almost surely, 213766672455128 is an apocalyptic number.

13766672455128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13766672455128 is an abundant number, since it is smaller than the sum of its proper divisors (23532647381352).

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

13766672455128 is a wasteful number, since it uses less digits than its factorization.

13766672455128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74779176 (or 74779169 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 13766672455128 in words is "thirteen trillion, seven hundred sixty-six billion, six hundred seventy-two million, four hundred fifty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2557 5114 7671 10228 15342 20456 23013 30684 46026 61368 92052 184104 74776607 149553214 224329821 299106428 448659642 598212856 672989463 897319284 1345978926 1794638568 2691957852 5383915704 191203784099 382407568198 573611352297 764815136396 1147222704594 1529630272792 1720834056891 2294445409188 3441668113782 4588890818376 6883336227564 13766672455128