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5715296297280 = 26335172310211657
BaseRepresentation
bin101001100101011001000…
…1101001010000101000000
3202020101011211021221022000
41103022302031022011000
51222114411323003110
620053323150344000
71126626240653433
oct123126215120500
922211154257260
105715296297280
111903930842759
127837b51bb000
13325c4757c88b
1415a89c39d81a
159da0461a1c0
hex532b234a140

5715296297280 has 896 divisors, whose sum is σ = 22311775503360. Its totient is φ = 1369889832960.

The previous prime is 5715296297279. The next prime is 5715296297323. The reversal of 5715296297280 is 827926925175.

5715296297280 is a `hidden beast` number, since 5 + 7 + 1 + 529 + 6 + 29 + 7 + 2 + 80 = 666.

It is a super-2 number, since 2×57152962972802 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3449182212 + ... + 3449183868.

It is an arithmetic number, because the mean of its divisors is an integer number (24901535160).

Almost surely, 25715296297280 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 5715296297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155887751680).

5715296297280 is an abundant number, since it is smaller than the sum of its proper divisors (16596479206080).

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

5715296297280 is a wasteful number, since it uses less digits than its factorization.

5715296297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 5715296297280 in words is "five trillion, seven hundred fifteen billion, two hundred ninety-six million, two hundred ninety-seven thousand, two hundred eighty".