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234056055168 = 2734132312139
BaseRepresentation
bin1101100111111011010…
…0111111100110000000
3211101010202202112120000
43121332310333212000
512313321322231133
6255305053320000
722624061433405
oct3317664774600
9741122675500
10234056055168
11902985a5541
1239440a96000
13190c0b01200
14b4850b22ac
15614d1e7413
hex367ed3f980

234056055168 has 720 divisors, whose sum is σ = 784971564300. Its totient is φ = 69192714240.

The previous prime is 234056055157. The next prime is 234056055179. The reversal of 234056055168 is 861550650432.

234056055168 is a `hidden beast` number, since 2 + 3 + 40 + 56 + 0 + 551 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (234056055157) and next prime (234056055179).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1683856443 + ... + 1683856581.

Almost surely, 2234056055168 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 234056055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392485782150).

234056055168 is an abundant number, since it is smaller than the sum of its proper divisors (550915509132).

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

234056055168 is a wasteful number, since it uses less digits than its factorization.

234056055168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 234056055168 in words is "two hundred thirty-four billion, fifty-six million, fifty-five thousand, one hundred sixty-eight".