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536123130368 = 2973143293383
BaseRepresentation
bin1111100110100110110…
…11011100001000000000
31220020211100020212101212
413303103123130020000
532240440010132433
61050142551145252
753506426263260
oct7632333341000
91806740225355
10536123130368
11197406591a51
1287aa2675228
133b72cc60627
141bd3c96d7a0
15de2c0b7d48
hex7cd36dc200

536123130368 has 320 divisors, whose sum is σ = 1300908736512. Its totient is φ = 215877795840.

The previous prime is 536123130349. The next prime is 536123130379. The reversal of 536123130368 is 863031321635.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399799105 + ... + 1399799487.

Almost surely, 2536123130368 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 536123130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650454368256).

536123130368 is an abundant number, since it is smaller than the sum of its proper divisors (764785606144).

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

536123130368 is a wasteful number, since it uses less digits than its factorization.

536123130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 536123130368 in words is "five hundred thirty-six billion, one hundred twenty-three million, one hundred thirty thousand, three hundred sixty-eight".