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56005869629632 = 261319231131363171
BaseRepresentation
bin11001011101111111000011…
…11101101111000011000000
321100022002221100102220012011
430232333201331233003000
524320100010111122012
6315040424042542304
714540201442105166
oct1456774175570300
9240262840386164
1056005869629632
1116932a5737711a
126346390507994
13253343bb335b0
14db89acb8b236
15671c9407c1a7
hex32efe1f6f0c0

56005869629632 has 224 divisors, whose sum is σ = 132625948331520. Its totient is φ = 23216377282560.

The previous prime is 56005869629621. The next prime is 56005869629653. The reversal of 56005869629632 is 23692696850065.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40403407 + ... + 41766577.

It is an arithmetic number, because the mean of its divisors is an integer number (592080126480).

Almost surely, 256005869629632 is an apocalyptic number.

56005869629632 is a gapful number since it is divisible by the number (52) 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 56005869629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66312974165760).

56005869629632 is an abundant number, since it is smaller than the sum of its proper divisors (76620078701888).

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

56005869629632 is a wasteful number, since it uses less digits than its factorization.

56005869629632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363351 (or 1363341 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 67.

The spelling of 56005869629632 in words is "fifty-six trillion, five billion, eight hundred sixty-nine million, six hundred twenty-nine thousand, six hundred thirty-two".