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54268159680 = 263657167199
BaseRepresentation
bin110010100010101000…
…100110011011000000
312012002001010011000000
4302202220212123000
51342120122102210
640532551000000
73630546513660
oct624250463300
9165061104000
1054268159680
1121018a63649
12a626369000
13516b0c16b7
1428ab52a1a0
151629439ac0
hexca2a266c0

54268159680 has 784 divisors, whose sum is σ = 223874380800. Its totient is φ = 12267915264.

The previous prime is 54268159663. The next prime is 54268159723. The reversal of 54268159680 is 8695186245.

54268159680 is a `hidden beast` number, since 5 + 42 + 6 + 8 + 1 + 596 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 272704221 + ... + 272704419.

Almost surely, 254268159680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54268159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111937190400).

54268159680 is an abundant number, since it is smaller than the sum of its proper divisors (169606221120).

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

54268159680 is a wasteful number, since it uses less digits than its factorization.

54268159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 54268159680 in words is "fifty-four billion, two hundred sixty-eight million, one hundred fifty-nine thousand, six hundred eighty".