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30792960000 = 211375411
BaseRepresentation
bin11100101011011001…
…110100100000000000
32221111000101110000000
4130223121310200000
51001030444210000
622051320000000
72140035561405
oct345331644000
987430343000
1030792960000
1112071906680
125b74600000
132b997517ba
1416c18a02ac
15c03560000
hex72b674800

30792960000 has 960 divisors, whose sum is σ = 125880955200. Its totient is φ = 7464960000.

The previous prime is 30792959993. The next prime is 30792960017. The reversal of 30792960000 is 6929703.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2799359995 + ... + 2799360005.

It is an arithmetic number, because the mean of its divisors is an integer number (131125995).

Almost surely, 230792960000 is an apocalyptic number.

30792960000 is a gapful number since it is divisible by the number (30) 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 30792960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62940477600).

30792960000 is an abundant number, since it is smaller than the sum of its proper divisors (95087995200).

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

30792960000 is an frugal number, since it uses more digits than its factorization.

30792960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 30792960000 in words is "thirty billion, seven hundred ninety-two million, nine hundred sixty thousand".