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30812673528 = 23327213251679
BaseRepresentation
bin11100101100100101…
…000001010111111000
32221112101110222212200
4130230211001113320
51001101021023103
622053302310200
72140365255300
oct345445012770
987471428780
1030812673528
1112081a5074a
125b7b128360
132ba0864700
1416c4352600
15c051560a3
hex72c9415f8

30812673528 has 216 divisors, whose sum is σ = 105119445600. Its totient is φ = 8126262144.

The previous prime is 30812673527. The next prime is 30812673569. The reversal of 30812673528 is 82537621803.

30812673528 is a `hidden beast` number, since 30 + 8 + 1 + 26 + 73 + 528 = 666.

It is a super-2 number, since 2×308126735282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30812673527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 570393 + ... + 622071.

It is an arithmetic number, because the mean of its divisors is an integer number (486664100).

Almost surely, 230812673528 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 30812673528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52559722800).

30812673528 is an abundant number, since it is smaller than the sum of its proper divisors (74306772072).

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

30812673528 is a wasteful number, since it uses less digits than its factorization.

30812673528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51731 (or 51704 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 30812673528 in words is "thirty billion, eight hundred twelve million, six hundred seventy-three thousand, five hundred twenty-eight".