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2537857424340 = 223457267577827
BaseRepresentation
bin100100111011100100000…
…101110001101111010100
322222121122122110222110000
4210323210011301233110
5313040013000034330
65221513044131300
7351232321115100
oct44734405615724
98877578428400
102537857424340
11899332399537
1234ba2b396b30
1315541b8ba844
148ab938b0900
1546037470560
hex24ee4171bd4

2537857424340 has 720 divisors, whose sum is σ = 9427067229888. Its totient is φ = 569743663104.

The previous prime is 2537857424309. The next prime is 2537857424359. The reversal of 2537857424340 is 434247587352.

2537857424340 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 8 + 574 + 24 + 3 + 40 = 666.

2537857424340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 239 ways as a sum of consecutive naturals, for example, 3068751007 + ... + 3068751833.

Almost surely, 22537857424340 is an apocalyptic number.

2537857424340 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 2537857424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713533614944).

2537857424340 is an abundant number, since it is smaller than the sum of its proper divisors (6889209805548).

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

2537857424340 is a wasteful number, since it uses less digits than its factorization.

2537857424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 2537857424340 in words is "two trillion, five hundred thirty-seven billion, eight hundred fifty-seven million, four hundred twenty-four thousand, three hundred forty".