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40553601660 = 2232511132177129
BaseRepresentation
bin100101110001001011…
…101101101001111100
310212200020202102012200
4211301023231221330
51131023210223120
630344032231500
72633645632545
oct456113555174
9125606672180
1040553601660
11162204a6180
127a3939b590
133a93984200
141d69d174cc
1510c53dbe90
hex9712eda7c

40553601660 has 432 divisors, whose sum is σ = 153881713440. Its totient is φ = 8539914240.

The previous prime is 40553601631. The next prime is 40553601791. The reversal of 40553601660 is 6610635504.

40553601660 is a `hidden beast` number, since 40 + 5 + 5 + 3 + 601 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5684976 + ... + 5692104.

It is an arithmetic number, because the mean of its divisors is an integer number (356207670).

Almost surely, 240553601660 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 40553601660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76940856720).

40553601660 is an abundant number, since it is smaller than the sum of its proper divisors (113328111780).

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

40553601660 is a wasteful number, since it uses less digits than its factorization.

40553601660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7198 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 40553601660 in words is "forty billion, five hundred fifty-three million, six hundred one thousand, six hundred sixty".