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2930359970304 = 293713201307
BaseRepresentation
bin101010101001000111000…
…100001010101000000000
3101101010202211021020000000
4222221013010022220000
5341002334123022204
610122104440000000
7421466023525404
oct52510704125000
911333684236000
102930359970304
11a2a838899728
123b3b0b760000
13183440b4c940
14a1b8a025104
155135aa3b039
hex2aa4710aa00

2930359970304 has 320 divisors, whose sum is σ = 9456676817280. Its totient is φ = 901644742656.

The previous prime is 2930359970303. The next prime is 2930359970357. The reversal of 2930359970304 is 4030799530392.

2930359970304 is a `hidden beast` number, since 29 + 303 + 5 + 9 + 9 + 7 + 0 + 304 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2930359970303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14456019 + ... + 14657325.

It is an arithmetic number, because the mean of its divisors is an integer number (29552115054).

Almost surely, 22930359970304 is an apocalyptic number.

2930359970304 is a gapful number since it is divisible by the number (24) 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 2930359970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728338408640).

2930359970304 is an abundant number, since it is smaller than the sum of its proper divisors (6526316846976).

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

2930359970304 is an frugal number, since it uses more digits than its factorization.

2930359970304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201359 (or 201325 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 2930359970304 in words is "two trillion, nine hundred thirty billion, three hundred fifty-nine million, nine hundred seventy thousand, three hundred four".