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42185657152 = 263717814889
BaseRepresentation
bin100111010010011101…
…100000101101000000
311000212222202102110101
4213102131200231000
51142344012012102
631214013012144
73022254112042
oct472235405500
9130788672411
1042185657152
1116988781671
128213a84054
133c93b31712
142082993a92
15116d81de87
hex9d2760b40

42185657152 has 28 divisors (see below), whose sum is σ = 85974659140. Its totient is φ = 20522750976.

The previous prime is 42185657141. The next prime is 42185657159. The reversal of 42185657152 is 25175658124.

It can be written as a sum of positive squares in 2 ways, for example, as 25633290816 + 16552366336 = 160104^2 + 128656^2 .

It is a super-2 number, since 2×421856571522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42185657159) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8905077 + ... + 8909812.

Almost surely, 242185657152 is an apocalyptic number.

It is an amenable number.

42185657152 is an abundant number, since it is smaller than the sum of its proper divisors (43789001988).

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

42185657152 is a wasteful number, since it uses less digits than its factorization.

42185657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17814938 (or 17814928 counting only the distinct ones).

The product of its digits is 672000, while the sum is 46.

The spelling of 42185657152 in words is "forty-two billion, one hundred eighty-five million, six hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 17814889 35629778 71259556 142519112 285038224 570076448 659150893 1140152896 1318301786 2636603572 5273207144 10546414288 21092828576 42185657152