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2942256308544 = 263372331389877
BaseRepresentation
bin101010110100001100001…
…001000110000101000000
3101102021110220022211011000
4222310030021012011000
5341201220103333134
610131353123452000
7422366565656310
oct52641411060500
911367426284130
102942256308544
11a34892a88723
123b628b827000
131845b868b037
14a2597d7b440
1551805131e99
hex2ad0c246140

2942256308544 has 896 divisors, whose sum is σ = 10687448678400. Its totient is φ = 775270932480.

The previous prime is 2942256308533. The next prime is 2942256308557. The reversal of 2942256308544 is 4458036522492.

2942256308544 is a `hidden beast` number, since 2 + 9 + 4 + 22 + 563 + 0 + 8 + 54 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3354909834 + ... + 3354910710.

Almost surely, 22942256308544 is an apocalyptic number.

2942256308544 is a gapful number since it is divisible by the number (24) 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 2942256308544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343724339200).

2942256308544 is an abundant number, since it is smaller than the sum of its proper divisors (7745192369856).

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

2942256308544 is a wasteful number, since it uses less digits than its factorization.

2942256308544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 2942256308544 in words is "two trillion, nine hundred forty-two billion, two hundred fifty-six million, three hundred eight thousand, five hundred forty-four".