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42636165696 = 26366171211
BaseRepresentation
bin100111101101010100…
…000100001001000000
311002001101110122000000
4213231110010021000
51144304324300241
631330425000000
73036364300035
oct475524041100
9132041418000
1042636165696
111709a005383
12831a923000
134036278a17
1420c674538c
15119815ceb6
hex9ed504240

42636165696 has 392 divisors, whose sum is σ = 131366288448. Its totient is φ = 13716864000.

The previous prime is 42636165679. The next prime is 42636165701. The reversal of 42636165696 is 69656163624.

42636165696 is a `hidden beast` number, since 4 + 2 + 63 + 6 + 16 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 202067031 + ... + 202067241.

Almost surely, 242636165696 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 42636165696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65683144224).

42636165696 is an abundant number, since it is smaller than the sum of its proper divisors (88730122752).

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

42636165696 is an equidigital number, since it uses as much as digits as its factorization.

42636165696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 348 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 42636165696 in words is "forty-two billion, six hundred thirty-six million, one hundred sixty-five thousand, six hundred ninety-six".