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242653162056 = 23343431545543
BaseRepresentation
bin1110000111111101000…
…0010110101001001000
3212012022220201211010020
43201333100112221020
512433423202141211
6303250123220440
723350112563104
oct3417720265110
9765286654106
10242653162056
11939aa425158
123b040077720
1319b60c690c6
14ba5cbac904
1564a2d3d306
hex387f416a48

242653162056 has 64 divisors (see below), whose sum is σ = 622182021120. Its totient is φ = 78819908160.

The previous prime is 242653162051. The next prime is 242653162069. The reversal of 242653162056 is 650261356242.

It is a junction number, because it is equal to n+sod(n) for n = 242653161999 and 242653162017.

It is not an unprimeable number, because it can be changed into a prime (242653162051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172021 + ... + 717563.

It is an arithmetic number, because the mean of its divisors is an integer number (9721594080).

Almost surely, 2242653162056 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 242653162056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311091010560).

242653162056 is an abundant number, since it is smaller than the sum of its proper divisors (379528859064).

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

242653162056 is a wasteful number, since it uses less digits than its factorization.

242653162056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546026 (or 546022 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 242653162056 in words is "two hundred forty-two billion, six hundred fifty-three million, one hundred sixty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 431 516 862 1032 1293 1724 2586 3448 5172 10344 18533 37066 55599 74132 111198 148264 222396 444792 545543 1091086 1636629 2182172 3273258 4364344 6546516 13093032 23458349 46916698 70375047 93833396 140750094 187666792 235129033 281500188 470258066 563000376 705387099 940516132 1410774198 1881032264 2821548396 5643096792 10110548419 20221096838 30331645257 40442193676 60663290514 80884387352 121326581028 242653162056