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46494685440 = 2832573715583
BaseRepresentation
bin101011010011010011…
…001001100100000000
311110000021221202000200
4223103103021210000
51230210114413230
633205342245200
73234116206530
oct532323114400
9143007852020
1046494685440
111879a046375
129016b86800
1344cc7923b8
142370d8b4c0
151321c88160
hexad34c9900

46494685440 has 432 divisors, whose sum is σ = 188828709888. Its totient is φ = 10339467264.

The previous prime is 46494685429. The next prime is 46494685451. The reversal of 46494685440 is 4458649464.

46494685440 is a `hidden beast` number, since 4 + 6 + 4 + 94 + 6 + 8 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46494685429) and next prime (46494685451).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2975889 + ... + 2991471.

Almost surely, 246494685440 is an apocalyptic number.

46494685440 is a gapful number since it is divisible by the number (40) 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 46494685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94414354944).

46494685440 is an abundant number, since it is smaller than the sum of its proper divisors (142334024448).

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

46494685440 is a wasteful number, since it uses less digits than its factorization.

46494685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15654 (or 15637 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 46494685440 in words is "forty-six billion, four hundred ninety-four million, six hundred eighty-five thousand, four hundred forty".