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42955702272 = 218347172
BaseRepresentation
bin101000000000010111…
…000000000000000000
311002212122201202210000
4220000113000000000
51200433124433042
631422241440000
73050324305410
oct500027000000
9132778652700
1042955702272
111724341299a
1283a9940000
134087527012
142116d62640
1511b622a74c
hexa005c0000

42955702272 has 570 divisors, whose sum is σ = 155805513512. Its totient is φ = 11551113216.

The previous prime is 42955702249. The next prime is 42955702319. The reversal of 42955702272 is 27220755924.

42955702272 is a `hidden beast` number, since 4 + 2 + 9 + 5 + 570 + 2 + 2 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2526806008 + ... + 2526806024.

Almost surely, 242955702272 is an apocalyptic number.

42955702272 is a gapful number since it is divisible by the number (42) 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 42955702272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77902756756).

42955702272 is an abundant number, since it is smaller than the sum of its proper divisors (112849811240).

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

42955702272 is an frugal number, since it uses more digits than its factorization.

42955702272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 42955702272 in words is "forty-two billion, nine hundred fifty-five million, seven hundred two thousand, two hundred seventy-two".