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54676131840 = 2123351189101
BaseRepresentation
bin110010111010111100…
…111001000000000000
312020010110210021121000
4302322330321000000
51343434042204330
641041243132000
73643632311121
oct627274710000
9166113707530
1054676131840
1121208284120
12a71ab14000
135204794845
1429097a8048
151650175560
hexcbaf39000

54676131840 has 832 divisors, whose sum is σ = 216556934400. Its totient is φ = 12976128000.

The previous prime is 54676131607. The next prime is 54676131871. The reversal of 54676131840 is 4813167645.

54676131840 is a `hidden beast` number, since 5 + 467 + 6 + 1 + 3 + 184 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541347790 + ... + 541347890.

Almost surely, 254676131840 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 54676131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108278467200).

54676131840 is an abundant number, since it is smaller than the sum of its proper divisors (161880802560).

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

54676131840 is a wasteful number, since it uses less digits than its factorization.

54676131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 54676131840 in words is "fifty-four billion, six hundred seventy-six million, one hundred thirty-one thousand, eight hundred forty".