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40678063920 = 2435513533037
BaseRepresentation
bin100101111000100110…
…011111111100110000
310212222220221202100000
4211320212133330300
51131302041021140
630404240030000
72640016560354
oct457046377460
9125886852300
1040678063920
111628478554a
127a73002300
133ab36b1210
141d7c675464
1510d12c4a30
hex97899ff30

40678063920 has 480 divisors, whose sum is σ = 155497672512. Its totient is φ = 9820901376.

The previous prime is 40678063919. The next prime is 40678063931. The reversal of 40678063920 is 2936087604.

40678063920 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 8 + 0 + 639 + 2 + 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 95 ways as a sum of consecutive naturals, for example, 13392642 + ... + 13395678.

Almost surely, 240678063920 is an apocalyptic number.

40678063920 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 40678063920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77748836256).

40678063920 is an abundant number, since it is smaller than the sum of its proper divisors (114819608592).

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

40678063920 is a wasteful number, since it uses less digits than its factorization.

40678063920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40678063920 in words is "forty billion, six hundred seventy-eight million, sixty-three thousand, nine hundred twenty".