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40157955684 = 22337311139709
BaseRepresentation
bin100101011001100110…
…011100011001100100
310211122200021111222000
4211121212130121210
51124220414040214
630240500205300
72621102664000
oct453146343144
9124580244860
1040157955684
1116038134530
127948999830
133a2ca08672
141d2d567700
1510a07d8809
hex95999c664

40157955684 has 384 divisors, whose sum is σ = 133593600000. Its totient is φ = 10340991360.

The previous prime is 40157955667. The next prime is 40157955689. The reversal of 40157955684 is 48655975104.

It is a happy number.

40157955684 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 7 + 9 + 556 + 84 = 666.

It is a super-2 number, since 2×401579556842 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40157955684.

It is not an unprimeable number, because it can be changed into a prime (40157955689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56639922 + ... + 56640630.

It is an arithmetic number, because the mean of its divisors is an integer number (347900000).

Almost surely, 240157955684 is an apocalyptic number.

40157955684 is a gapful number since it is divisible by the number (44) 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 40157955684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66796800000).

40157955684 is an abundant number, since it is smaller than the sum of its proper divisors (93435644316).

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

40157955684 is a wasteful number, since it uses less digits than its factorization.

40157955684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 40157955684 in words is "forty billion, one hundred fifty-seven million, nine hundred fifty-five thousand, six hundred eighty-four".