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427188957156 = 2233131947340723
BaseRepresentation
bin1100011011101100111…
…00100010111111100100
31111211122112101111112000
412031312130202333210
523444340333112111
6524125313525300
742602066136453
oct6156634427744
91454575344460
10427188957156
11155196036325
126a960873830
133138c50aa80
1416967150b9a
15b1a3855c56
hex6376722fe4

427188957156 has 192 divisors, whose sum is σ = 1282212556800. Its totient is φ = 121874896512.

The previous prime is 427188957131. The next prime is 427188957157. The reversal of 427188957156 is 651759881724.

427188957156 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 8 + 8 + 9 + 571 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 427188957093 and 427188957102.

It is not an unprimeable number, because it can be changed into a prime (427188957157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1083411 + ... + 1424133.

It is an arithmetic number, because the mean of its divisors is an integer number (6678190400).

Almost surely, 2427188957156 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 427188957156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641106278400).

427188957156 is an abundant number, since it is smaller than the sum of its proper divisors (855023599644).

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

427188957156 is a wasteful number, since it uses less digits than its factorization.

427188957156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340815 (or 340807 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 63.

The spelling of 427188957156 in words is "four hundred twenty-seven billion, one hundred eighty-eight million, nine hundred fifty-seven thousand, one hundred fifty-six".