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268057745280 = 2734513397759
BaseRepresentation
bin1111100110100101111…
…1001001011110000000
3221121220101221100210000
43321221133021132000
513342440240322110
6323051035440000
725236502145313
oct3715137113600
9847811840700
10268057745280
11a3756677586
1243b4bbb6000
131c37c25a080
14cd8cb9097a
156e8d2cc1c0
hex3e697c9780

268057745280 has 320 divisors, whose sum is σ = 1030922323200. Its totient is φ = 65983279104.

The previous prime is 268057745261. The next prime is 268057745297. The reversal of 268057745280 is 82547750862.

268057745280 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 577 + 45 + 28 + 0 = 666.

268057745280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 475041 + ... + 872799.

It is an arithmetic number, because the mean of its divisors is an integer number (3221632260).

Almost surely, 2268057745280 is an apocalyptic number.

268057745280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268057745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515461161600).

268057745280 is an abundant number, since it is smaller than the sum of its proper divisors (762864577920).

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

268057745280 is a wasteful number, since it uses less digits than its factorization.

268057745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397803 (or 397782 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 268057745280 in words is "two hundred sixty-eight billion, fifty-seven million, seven hundred forty-five thousand, two hundred eighty".