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2342373820920 = 233557192378779
BaseRepresentation
bin100010000101100000010…
…111000000100111111000
322021221002001121000100000
4202011200113000213320
5301334140144232140
64552023252113000
7331142130652050
oct42054027004770
98257061530300
102342373820920
11823438a579a1
12319b74305760
1313cb671963a3
148152b566560
1540de5777a30
hex221605c09f8

2342373820920 has 768 divisors, whose sum is σ = 9910397952000. Its totient is φ = 485161560576.

The previous prime is 2342373820879. The next prime is 2342373820987. The reversal of 2342373820920 is 290283732432.

2342373820920 is a `hidden beast` number, since 2 + 34 + 237 + 382 + 0 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29694091 + ... + 29772869.

It is an arithmetic number, because the mean of its divisors is an integer number (12904164000).

Almost surely, 22342373820920 is an apocalyptic number.

2342373820920 is a gapful number since it is divisible by the number (20) 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 2342373820920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955198976000).

2342373820920 is an abundant number, since it is smaller than the sum of its proper divisors (7568024131080).

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

2342373820920 is a wasteful number, since it uses less digits than its factorization.

2342373820920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78854 (or 78838 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2342373820920 in words is "two trillion, three hundred forty-two billion, three hundred seventy-three million, eight hundred twenty thousand, nine hundred twenty".