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40267505088 = 26321493131499
BaseRepresentation
bin100101100000001000…
…010101110111000000
310211221022102012111100
4211200020111313000
51124431440130323
630255412214400
72623603101006
oct454010256700
9124838365440
1040267505088
1116093a58628
12797960a400
133a496138b5
141d3dd22a76
1510aa227943
hex960215dc0

40267505088 has 168 divisors, whose sum is σ = 116643150000. Its totient is φ = 13280956416.

The previous prime is 40267505051. The next prime is 40267505153. The reversal of 40267505088 is 88050576204.

40267505088 is a `hidden beast` number, since 4 + 0 + 2 + 67 + 505 + 0 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26862163 + ... + 26863661.

Almost surely, 240267505088 is an apocalyptic number.

40267505088 is a gapful number since it is divisible by the number (48) 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 40267505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58321575000).

40267505088 is an abundant number, since it is smaller than the sum of its proper divisors (76375644912).

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

40267505088 is a wasteful number, since it uses less digits than its factorization.

40267505088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 40267505088 in words is "forty billion, two hundred sixty-seven million, five hundred five thousand, eighty-eight".