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56109721248 = 2534723114251
BaseRepresentation
bin110100010000011001…
…100110011010100000
312100211101100011120000
4310100121212122200
51404403042034443
641435414020000
74024310522100
oct642031463240
9170741304500
1056109721248
1121883525059
12aa5b047600
1353a27a3cb9
142a03d41200
1516d5e528d3
hexd106666a0

56109721248 has 360 divisors, whose sum is σ = 198164824704. Its totient is φ = 15513120000.

The previous prime is 56109721247. The next prime is 56109721253. The reversal of 56109721248 is 84212790165.

56109721248 is a `hidden beast` number, since 5 + 610 + 9 + 7 + 2 + 1 + 24 + 8 = 666.

It is a super-3 number, since 3×561097212483 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (56109721243) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3930123 + ... + 3944373.

Almost surely, 256109721248 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 56109721248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99082412352).

56109721248 is an abundant number, since it is smaller than the sum of its proper divisors (142055103456).

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

56109721248 is a wasteful number, since it uses less digits than its factorization.

56109721248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14318 (or 14294 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 56109721248 in words is "fifty-six billion, one hundred nine million, seven hundred twenty-one thousand, two hundred forty-eight".