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42574977198 = 232132294179149
BaseRepresentation
bin100111101001101010…
…101001100010101110
311001220010022221011100
4213221222221202232
51144143143232243
631320401303530
73035022222645
oct475152514256
9131803287140
1042574977198
1117068512576
128302334ba6
1340266a3b00
1420bc57835c
151192ac30d3
hex9e9aa98ae

42574977198 has 288 divisors, whose sum is σ = 107911440000. Its totient is φ = 12101806080.

The previous prime is 42574977167. The next prime is 42574977349. The reversal of 42574977198 is 89177947524.

42574977198 is a `hidden beast` number, since 4 + 2 + 57 + 497 + 7 + 1 + 98 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 285738028 + ... + 285738176.

It is an arithmetic number, because the mean of its divisors is an integer number (374692500).

Almost surely, 242574977198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42574977198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53955720000).

42574977198 is an abundant number, since it is smaller than the sum of its proper divisors (65336462802).

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

42574977198 is a wasteful number, since it uses less digits than its factorization.

42574977198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 42574977198 in words is "forty-two billion, five hundred seventy-four million, nine hundred seventy-seven thousand, one hundred ninety-eight".