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242952642864 = 2434893735647
BaseRepresentation
bin1110001001000100011…
…0110010000100110000
3212020002210021000120000
43202101012302010300
512440031334032424
6303335542150000
723360410251021
oct3422106620460
9766083230500
10242952642864
1194043484558
123b104422300
1319bab014799
14ba8a888c48
1564be2983c9
hex38911b2130

242952642864 has 200 divisors, whose sum is σ = 713108911680. Its totient is φ = 79845460992.

The previous prime is 242952642853. The next prime is 242952642887. The reversal of 242952642864 is 468246259242.

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

It is a self number, because there is not a number n which added to its sum of digits gives 242952642864.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43020489 + ... + 43026135.

Almost surely, 2242952642864 is an apocalyptic number.

242952642864 is a gapful number since it is divisible by the number (24) 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 242952642864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356554455840).

242952642864 is an abundant number, since it is smaller than the sum of its proper divisors (470156268816).

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

242952642864 is a wasteful number, since it uses less digits than its factorization.

242952642864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129 (or 6114 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 242952642864 in words is "two hundred forty-two billion, nine hundred fifty-two million, six hundred forty-two thousand, eight hundred sixty-four".