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242522672688 = 243212718677103
BaseRepresentation
bin1110000111011101111…
…0100100111000110000
3212011222211012021100200
43201313132210320300
512433141301011223
6303225142315200
723343636463452
oct3416736447060
9764884167320
10242522672688
11939427a95aa
123b004428b00
1319b3cc0b96a
14ba497222d2
156496664a43
hex38777a4e30

242522672688 has 120 divisors (see below), whose sum is σ = 684533710848. Its totient is φ = 80150103936.

The previous prime is 242522672677. The next prime is 242522672701. The reversal of 242522672688 is 886276225242.

It is a happy number.

242522672688 is a `hidden beast` number, since 2 + 42 + 522 + 6 + 72 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×2425226726882 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34140145 + ... + 34147247.

Almost surely, 2242522672688 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 242522672688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342266855424).

242522672688 is an abundant number, since it is smaller than the sum of its proper divisors (442011038160).

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

242522672688 is a wasteful number, since it uses less digits than its factorization.

242522672688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9111 (or 9102 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 242522672688 in words is "two hundred forty-two billion, five hundred twenty-two million, six hundred seventy-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 1867 2032 2286 3048 3734 4572 5601 6096 7103 7468 9144 11202 14206 14936 16803 18288 21309 22404 28412 29872 33606 42618 44808 56824 63927 67212 85236 89616 113648 127854 134424 170472 237109 255708 268848 340944 474218 511416 711327 902081 948436 1022832 1422654 1804162 1896872 2133981 2706243 2845308 3608324 3793744 4267962 5412486 5690616 7216648 8118729 8535924 10824972 11381232 13261301 14433296 16237458 17071848 21649944 26522602 32474916 34143696 39783903 43299888 53045204 64949832 79567806 106090408 119351709 129899664 159135612 212180816 238703418 318271224 477406836 636542448 954813672 1684185227 1909627344 3368370454 5052555681 6736740908 10105111362 13473481816 15157667043 20210222724 26946963632 30315334086 40420445448 60630668172 80840890896 121261336344 242522672688