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242332112772 = 22332243815859
BaseRepresentation
bin1110000110110000011…
…1101001011110000100
3212011111112121211022000
43201230013221132010
512432244010102042
6303154214105300
723336133654261
oct3415407513604
9764445554260
10242332112772
1193855184072
123ab7064b230
1319b0c5ab409
14ba2c2ba268
156484a7274c
hex386c1e9784

242332112772 has 24 divisors (see below), whose sum is σ = 628268440800. Its totient is φ = 80777370888.

The previous prime is 242332112767. The next prime is 242332112797. The reversal of 242332112772 is 277211233242.

242332112772 is a `hidden beast` number, since 2 + 42 + 332 + 11 + 277 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121907822 + ... + 1121908037.

It is an arithmetic number, because the mean of its divisors is an integer number (26177851700).

Almost surely, 2242332112772 is an apocalyptic number.

It is an amenable number.

242332112772 is an abundant number, since it is smaller than the sum of its proper divisors (385936328028).

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

242332112772 is a wasteful number, since it uses less digits than its factorization.

242332112772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243815872 (or 2243815864 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The spelling of 242332112772 in words is "two hundred forty-two billion, three hundred thirty-two million, one hundred twelve thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2243815859 4487631718 6731447577 8975263436 13462895154 20194342731 26925790308 40388685462 60583028193 80777370924 121166056386 242332112772