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30763012896 = 25337112127331
BaseRepresentation
bin11100101001100111…
…100101001100100000
32221101221000222022000
4130221213211030200
51001000312403041
622044330044000
72136223203150
oct345147451440
987357028260
1030763012896
1112056a11a00
125b66579600
132b93497915
1416bb906760
15c00ae6bb6
hex7299e5320

30763012896 has 576 divisors, whose sum is σ = 113943674880. Its totient is φ = 7903526400.

The previous prime is 30763012873. The next prime is 30763012913. The reversal of 30763012896 is 69821036703.

30763012896 is a `hidden beast` number, since 3 + 0 + 7 + 630 + 1 + 2 + 8 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92939451 + ... + 92939781.

It is an arithmetic number, because the mean of its divisors is an integer number (197818880).

Almost surely, 230763012896 is an apocalyptic number.

30763012896 is a gapful number since it is divisible by the number (36) 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 30763012896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56971837440).

30763012896 is an abundant number, since it is smaller than the sum of its proper divisors (83180661984).

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

30763012896 is a wasteful number, since it uses less digits than its factorization.

30763012896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 30763012896 in words is "thirty billion, seven hundred sixty-three million, twelve thousand, eight hundred ninety-six".