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22942473493632 = 273731119833429
BaseRepresentation
bin1010011011101101101011…
…11110111001110010000000
310000020021112102110110201220
411031312311332321302000
511001342141203244012
6120443343220555040
74555352611032000
oct515666576716200
9100207472413656
1022942473493632
1173459371a6070
1226a64a3b52a80
13ca5609965154
145945c8db2000
1529bbbe0b908c
hex14ddb5fb9c80

22942473493632 has 512 divisors, whose sum is σ = 81609465600000. Its totient is φ = 5645441249280.

The previous prime is 22942473493573. The next prime is 22942473493633. The reversal of 22942473493632 is 23639437424922.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22942473493633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27111094 + ... + 27944522.

It is an arithmetic number, because the mean of its divisors is an integer number (159393487500).

Almost surely, 222942473493632 is an apocalyptic number.

22942473493632 is a gapful number since it is divisible by the number (22) 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 22942473493632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40804732800000).

22942473493632 is an abundant number, since it is smaller than the sum of its proper divisors (58666992106368).

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

22942473493632 is a wasteful number, since it uses less digits than its factorization.

22942473493632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833497 (or 833471 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 60.

The spelling of 22942473493632 in words is "twenty-two trillion, nine hundred forty-two billion, four hundred seventy-three million, four hundred ninety-three thousand, six hundred thirty-two".