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268412732160 = 28351274311277
BaseRepresentation
bin1111100111111010100…
…1010100001100000000
3221122211010220120020020
43321332221110030000
513344202124412120
6323150200213440
725251342402426
oct3717651241400
9848733816206
10268412732160
11a3918a98471
124402aa6a280
131c40796b091
14cdc3d99116
156eae54d640
hex3e7ea54300

268412732160 has 288 divisors, whose sum is σ = 866675884032. Its totient is φ = 70792888320.

The previous prime is 268412732153. The next prime is 268412732221. The reversal of 268412732160 is 61237214862.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210189442 + ... + 210190718.

It is an arithmetic number, because the mean of its divisors is an integer number (3009291264).

Almost surely, 2268412732160 is an apocalyptic number.

268412732160 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 268412732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433337942016).

268412732160 is an abundant number, since it is smaller than the sum of its proper divisors (598263151872).

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

268412732160 is a wasteful number, since it uses less digits than its factorization.

268412732160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 268412732160 in words is "two hundred sixty-eight billion, four hundred twelve million, seven hundred thirty-two thousand, one hundred sixty".