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2542075425792 = 210357172932
BaseRepresentation
bin100100111111011111100…
…000001011010000000000
3100000000112121101122200000
4210333133200023100000
5313122132302111132
65223451402400000
7351441666412320
oct44773740132000
910000477348600
102542075425792
118a00a7340451
12350807b00000
1315594172a0a6
148b073b71280
15461d290887c
hex24fdf80b400

2542075425792 has 792 divisors, whose sum is σ = 9242760735936. Its totient is φ = 681250258944.

The previous prime is 2542075425781. The next prime is 2542075425817. The reversal of 2542075425792 is 2975245702452.

It is a happy number.

2542075425792 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 0 + 7 + 542 + 5 + 7 + 92 = 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 71 ways as a sum of consecutive naturals, for example, 8676025198 + ... + 8676025490.

Almost surely, 22542075425792 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 2542075425792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621380367968).

2542075425792 is an abundant number, since it is smaller than the sum of its proper divisors (6700685310144).

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

2542075425792 is an frugal number, since it uses more digits than its factorization.

2542075425792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 2542075425792 in words is "two trillion, five hundred forty-two billion, seventy-five million, four hundred twenty-five thousand, seven hundred ninety-two".