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2125937945880 = 23345797966353
BaseRepresentation
bin11110111011111011110…
…001101010110100011000
321112020102021022100220000
4132323323301222310120
5234312410103232010
64304350432133000
7306410503245030
oct36737361526430
97466367270800
102125937945880
1174a6726025a1
122a4030397160
131256239cb588
1474c786908c0
153a47940e7c0
hex1eefbc6ad18

2125937945880 has 320 divisors, whose sum is σ = 8250498527040. Its totient is φ = 480918601728.

The previous prime is 2125937945851. The next prime is 2125937945917. The reversal of 2125937945880 is 885497395212.

2125937945880 is a `hidden beast` number, since 2 + 1 + 25 + 93 + 79 + 458 + 8 + 0 = 666.

It is a super-2 number, since 2×21259379458802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1716784 + ... + 2683136.

It is an arithmetic number, because the mean of its divisors is an integer number (25782807897).

Almost surely, 22125937945880 is an apocalyptic number.

2125937945880 is a gapful number since it is divisible by the number (20) 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 2125937945880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125249263520).

2125937945880 is an abundant number, since it is smaller than the sum of its proper divisors (6124560581160).

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

2125937945880 is a wasteful number, since it uses less digits than its factorization.

2125937945880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966480 (or 966467 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 2125937945880 in words is "two trillion, one hundred twenty-five billion, nine hundred thirty-seven million, nine hundred forty-five thousand, eight hundred eighty".