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30714697728 = 21132111343271
BaseRepresentation
bin11100100110101111…
…010001100000000000
32221021120010022100100
4130212233101200000
51000400430311403
622035442322400
72135065423461
oct344657214000
987246108310
1030714697728
1112031712010
125b52359400
132b8647c370
1416b532ad68
15beb7512a3
hex726bd1800

30714697728 has 576 divisors, whose sum is σ = 107035568640. Its totient is φ = 8360755200.

The previous prime is 30714697711. The next prime is 30714697733. The reversal of 30714697728 is 82779641703.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113338233 + ... + 113338503.

It is an arithmetic number, because the mean of its divisors is an integer number (185825640).

Almost surely, 230714697728 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 30714697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53517784320).

30714697728 is an abundant number, since it is smaller than the sum of its proper divisors (76320870912).

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

30714697728 is a wasteful number, since it uses less digits than its factorization.

30714697728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 30714697728 in words is "thirty billion, seven hundred fourteen million, six hundred ninety-seven thousand, seven hundred twenty-eight".