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42766588656 = 2435113132257
BaseRepresentation
bin100111110101000101…
…100101101011110000
311002101110212210200000
4213311011211223300
51200041221314111
631351404230000
73042540001641
oct476505455360
9132343783600
1042766588656
1117156696050
12835653b300
1340572b1b7c
1420d9bb56c8
1511a4821c56
hex9f5165af0

42766588656 has 240 divisors, whose sum is σ = 139775720448. Its totient is φ = 12541132800.

The previous prime is 42766588633. The next prime is 42766588661. The reversal of 42766588656 is 65688566724.

It is a happy number.

42766588656 is a `hidden beast` number, since 42 + 7 + 6 + 6 + 588 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×427665886562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42766588593 and 42766588602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1309680 + ... + 1341936.

Almost surely, 242766588656 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 42766588656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69887860224).

42766588656 is an abundant number, since it is smaller than the sum of its proper divisors (97009131792).

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

42766588656 is a wasteful number, since it uses less digits than its factorization.

42766588656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32322 (or 32304 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 42766588656 in words is "forty-two billion, seven hundred sixty-six million, five hundred eighty-eight thousand, six hundred fifty-six".