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2125247294016 = 2632711101474433
BaseRepresentation
bin11110111011010010100…
…111000010101001000000
321112011122010201121122100
4132323102213002221000
5234310001301402031
64304154121110400
7306354415636530
oct36732247025100
97464563647570
102125247294016
1174a348768630
122a3a79028400
131255438b3132
1474c10a6b4c0
153a438986de6
hex1eed29c2a40

2125247294016 has 336 divisors, whose sum is σ = 7669980908928. Its totient is φ = 546545664000.

The previous prime is 2125247293931. The next prime is 2125247294029. The reversal of 2125247294016 is 6104927425212.

2125247294016 is a `hidden beast` number, since 2 + 1 + 2 + 524 + 72 + 9 + 40 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4242336 + ... + 4716768.

Almost surely, 22125247294016 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 2125247294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834990454464).

2125247294016 is an abundant number, since it is smaller than the sum of its proper divisors (5544733614912).

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

2125247294016 is a wasteful number, since it uses less digits than its factorization.

2125247294016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474570 (or 474557 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2125247294016 in words is "two trillion, one hundred twenty-five billion, two hundred forty-seven million, two hundred ninety-four thousand, sixteen".