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2326347145920 = 2635717316011093
BaseRepresentation
bin100001110110100101000…
…110000110001011000000
322020101201010120120022110
4201312211012012023000
5301103324332132140
64540413100535320
7330034023322050
oct41664506061300
98211633516273
102326347145920
11817664352846
12316a40b51540
1313b4b1a30745
148084ac4d560
15407a8763380
hex21da51862c0

2326347145920 has 896 divisors, whose sum is σ = 9249989640192. Its totient is φ = 483065856000.

The previous prime is 2326347145883. The next prime is 2326347145921. The reversal of 2326347145920 is 295417436232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2326347145920.

It is not an unprimeable number, because it can be changed into a prime (2326347145921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2128404894 + ... + 2128405986.

It is an arithmetic number, because the mean of its divisors is an integer number (10323649152).

Almost surely, 22326347145920 is an apocalyptic number.

2326347145920 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 2326347145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624994820096).

2326347145920 is an abundant number, since it is smaller than the sum of its proper divisors (6923642494272).

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

2326347145920 is a wasteful number, since it uses less digits than its factorization.

2326347145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 2326347145920 in words is "two trillion, three hundred twenty-six billion, three hundred forty-seven million, one hundred forty-five thousand, nine hundred twenty".