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55947668040 = 233251159239461
BaseRepresentation
bin110100000110101111…
…011010101001001000
312100102002102000100100
4310012233122221020
51404040100334130
641411344405400
74020302221545
oct640657325110
9170362360310
1055947668040
1121800000090
12aa14916860
135378044b24
1429ca5d9bcc
1516c6ae1c60
hexd06bdaa48

55947668040 has 192 divisors, whose sum is σ = 201722788800. Its totient is φ = 13333132800.

The previous prime is 55947667931. The next prime is 55947668041. The reversal of 55947668040 is 4086674955.

55947668040 is a `hidden beast` number, since 5 + 59 + 476 + 6 + 80 + 40 = 666.

It is a super-2 number, since 2×559476680402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55947668041) 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 47 ways as a sum of consecutive naturals, for example, 113910 + ... + 353370.

It is an arithmetic number, because the mean of its divisors is an integer number (1050639525).

Almost surely, 255947668040 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 55947668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100861394400).

55947668040 is an abundant number, since it is smaller than the sum of its proper divisors (145775120760).

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

55947668040 is a wasteful number, since it uses less digits than its factorization.

55947668040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239548 (or 239541 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 55947668040 in words is "fifty-five billion, nine hundred forty-seven million, six hundred sixty-eight thousand, forty".