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40697352960 = 283511287589
BaseRepresentation
bin100101111001110000…
…000101001100000000
310220001021020201220220
4211321300011030000
51131322010243320
630410205303040
72640342535545
oct457160051400
9126037221826
1040697352960
111629465a700
127a79564a80
133ab76a5b54
141d81056bcc
1510d2d34e40
hex979c05300

40697352960 has 216 divisors, whose sum is σ = 142869100080. Its totient is φ = 9865912320.

The previous prime is 40697352931. The next prime is 40697352973. The reversal of 40697352960 is 6925379604.

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, 420846 + ... + 508434.

Almost surely, 240697352960 is an apocalyptic number.

40697352960 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 40697352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71434550040).

40697352960 is an abundant number, since it is smaller than the sum of its proper divisors (102171747120).

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

40697352960 is a wasteful number, since it uses less digits than its factorization.

40697352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87635 (or 87610 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 40697352960 in words is "forty billion, six hundred ninety-seven million, three hundred fifty-two thousand, nine hundred sixty".