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2932340432392 = 2371943973132111
BaseRepresentation
bin101010101010111101000…
…111000001111000001000
3101101022212211212010020201
4222222331013001320020
5341020413122314032
610123033144101544
7421566062264350
oct52527507017010
911338784763221
102932340432392
11a30664801158
123b4382a648b4
13183698245cb7
14a1cd7075b60
155142483e8e7
hex2aabd1c1e08

2932340432392 has 256 divisors, whose sum is σ = 6862992998400. Its totient is φ = 1146677575680.

The previous prime is 2932340432389. The next prime is 2932340432401.

2932340432392 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×29323404323922 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1389075417 + ... + 1389077527.

It is an arithmetic number, because the mean of its divisors is an integer number (26808566400).

Almost surely, 22932340432392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2932340432392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431496499200).

2932340432392 is an abundant number, since it is smaller than the sum of its proper divisors (3930652566008).

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

2932340432392 is a wasteful number, since it uses less digits than its factorization.

2932340432392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 46.

The spelling of 2932340432392 in words is "two trillion, nine hundred thirty-two billion, three hundred forty million, four hundred thirty-two thousand, three hundred ninety-two".