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30514796928 = 273671131137
BaseRepresentation
bin11100011010110100…
…101101100110000000
32220202121222022000000
4130122310231212000
5444443242000203
622003542000000
72130120331350
oct343264554600
986677868000
1030514796928
1111a39897640
125ab7416000
132b53c2b275
141696972b60
15bd8e164a3
hex71ad2d980

30514796928 has 896 divisors, whose sum is σ = 118157322240. Its totient is φ = 7614259200.

The previous prime is 30514796927. The next prime is 30514796929. The reversal of 30514796928 is 82969741503.

30514796928 is a `hidden beast` number, since 30 + 51 + 479 + 6 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (30514796927) and next prime (30514796929).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30514796927) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 222735676 + ... + 222735812.

It is a 1-persistent number, because it is pandigital, but 2⋅30514796928 = 61029593856 is not.

Almost surely, 230514796928 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 30514796928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59078661120).

30514796928 is an abundant number, since it is smaller than the sum of its proper divisors (87642525312).

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

30514796928 is a wasteful number, since it uses less digits than its factorization.

30514796928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 30514796928 in words is "thirty billion, five hundred fourteen million, seven hundred ninety-six thousand, nine hundred twenty-eight".