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253427001696 = 25351117397439
BaseRepresentation
bin1110110000000101101…
…1010010100101100000
3220020010202121120200000
43230001123102211200
513123004303023241
6312231152100000
724211104654231
oct3540133224540
9806122546600
10253427001696
1198528a32360
1241148234600
131ab8a07a04b
14c3a1a0b088
1568d3b06eb6
hex3b016d2960

253427001696 has 576 divisors, whose sum is σ = 867423997440. Its totient is φ = 71932354560.

The previous prime is 253427001691. The next prime is 253427001733. The reversal of 253427001696 is 696100724352.

253427001696 is a `hidden beast` number, since 2 + 534 + 27 + 0 + 0 + 1 + 6 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253427001691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 577282245 + ... + 577282683.

It is an arithmetic number, because the mean of its divisors is an integer number (1505944440).

Almost surely, 2253427001696 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 253427001696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433711998720).

253427001696 is an abundant number, since it is smaller than the sum of its proper divisors (613996995744).

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

253427001696 is a wasteful number, since it uses less digits than its factorization.

253427001696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 253427001696 in words is "two hundred fifty-three billion, four hundred twenty-seven million, one thousand, six hundred ninety-six".