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2279072731914 = 23411237109127227
BaseRepresentation
bin100001001010100011010…
…100100001001100001010
322001212200111102111210000
4201022203110201030022
5244320020104410124
64502554102103430
7323441355405126
oct41124324411412
98055614374700
102279072731914
117a9605161900
12309848a1ab76
13136bb98652c4
147c4444d2586
153e43d3096c9
hex212a352130a

2279072731914 has 480 divisors, whose sum is σ = 5889512724480. Its totient is φ = 657645246720.

The previous prime is 2279072731907. The next prime is 2279072731933. The reversal of 2279072731914 is 4191372709722.

2279072731914 is a `hidden beast` number, since 227 + 90 + 7 + 2 + 7 + 319 + 14 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10039967869 + ... + 10039968095.

It is an arithmetic number, because the mean of its divisors is an integer number (12269818176).

Almost surely, 22279072731914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2279072731914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944756362240).

2279072731914 is an abundant number, since it is smaller than the sum of its proper divisors (3610439992566).

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

2279072731914 is a wasteful number, since it uses less digits than its factorization.

2279072731914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 2279072731914 in words is "two trillion, two hundred seventy-nine billion, seventy-two million, seven hundred thirty-one thousand, nine hundred fourteen".