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268677584911480 = 23526053257818279
BaseRepresentation
bin111101000101110001100000…
…000000011111110001111000
31022020022022210211221220021011
4331011301200000133301320
5240204003143214131410
62351232440100123304
7110410213010223643
oct7505614000376170
91266268724856234
10268677584911480
11786775842aa538
1226173623696534
13b6bc259054164
144a4c0c8d8ca5a
15210ddc1d8c18a
hexf45c6001fc78

268677584911480 has 32 divisors (see below), whose sum is σ = 604547772040800. Its totient is φ = 107466908455296.

The previous prime is 268677584911471. The next prime is 268677584911481. The reversal of 268677584911480 is 84119485776862.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 268677584911397 and 268677584911406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268677584911481) 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, 127867020 + ... + 129951259.

It is an arithmetic number, because the mean of its divisors is an integer number (18892117876275).

Almost surely, 2268677584911480 is an apocalyptic number.

268677584911480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268677584911480 is an abundant number, since it is smaller than the sum of its proper divisors (335870187129320).

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

268677584911480 is a wasteful number, since it uses less digits than its factorization.

268677584911480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257844343 (or 257844339 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 76.

The spelling of 268677584911480 in words is "two hundred sixty-eight trillion, six hundred seventy-seven billion, five hundred eighty-four million, nine hundred eleven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 26053 52106 104212 130265 208424 260530 521060 1042120 257818279 515636558 1031273116 1289091395 2062546232 2578182790 5156365580 10312731160 6716939622787 13433879245574 26867758491148 33584698113935 53735516982296 67169396227870 134338792455740 268677584911480