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56290171392 = 29327213127151
BaseRepresentation
bin110100011011001001…
…111101101000000000
312101021221212222121200
4310123021331220000
51410240240441032
641505341421200
74031631363600
oct643311755000
9171257788550
1056290171392
1121966374a04
12aaab56a800
135400ca4a30
142a1dcb4c00
1516e6be947c
hexd1b27da00

56290171392 has 720 divisors, whose sum is σ = 206478784512. Its totient is φ = 14631321600.

The previous prime is 56290171391. The next prime is 56290171403. The reversal of 56290171392 is 29317109265.

It is a happy number.

56290171392 is a `hidden beast` number, since 5 + 6 + 2 + 90 + 171 + 392 = 666.

It is not an unprimeable number, because it can be changed into a prime (56290171391) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 372782517 + ... + 372782667.

Almost surely, 256290171392 is an apocalyptic number.

56290171392 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 56290171392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103239392256).

56290171392 is an abundant number, since it is smaller than the sum of its proper divisors (150188613120).

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

56290171392 is a wasteful number, since it uses less digits than its factorization.

56290171392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 56290171392 in words is "fifty-six billion, two hundred ninety million, one hundred seventy-one thousand, three hundred ninety-two".