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30823826592 = 25313127439443
BaseRepresentation
bin11100101101001111…
…100100010010100000
32221120011110122000010
4130231033210102200
51001111344422332
622054341324520
72140562126436
oct345517442240
987504418003
1030823826592
1112088279159
125b82a06740
132ba2c6b060
1416c5a16d56
15c0610a9cc
hex72d3e44a0

30823826592 has 192 divisors, whose sum is σ = 88221450240. Its totient is φ = 9366948864.

The previous prime is 30823826563. The next prime is 30823826639. The reversal of 30823826592 is 29562832803.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69579523 + ... + 69579965.

It is an arithmetic number, because the mean of its divisors is an integer number (459486720).

Almost surely, 230823826592 is an apocalyptic number.

30823826592 is a gapful number since it is divisible by the number (32) 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 30823826592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44110725120).

30823826592 is an abundant number, since it is smaller than the sum of its proper divisors (57397623648).

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

30823826592 is a wasteful number, since it uses less digits than its factorization.

30823826592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 30823826592 in words is "thirty billion, eight hundred twenty-three million, eight hundred twenty-six thousand, five hundred ninety-two".