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1322153606664 = 23321131711574831
BaseRepresentation
bin10011001111010110011…
…111101111111000001000
311200101201011021021102200
4103033112133233320020
5133130232310403124
62451220004200200
7164344125141042
oct23172637577010
94611634237380
101322153606664
1146a7a4273830
121942aa699060
13978a8a0bb37
1447dc78b2a92
15245d3c96bc9
hex133d67efe08

1322153606664 has 384 divisors, whose sum is σ = 4116066140160. Its totient is φ = 379753920000.

The previous prime is 1322153606623. The next prime is 1322153606671. The reversal of 1322153606664 is 4666063512231.

It is a super-2 number, since 2×13221536066642 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273678729 + ... + 273683559.

It is an arithmetic number, because the mean of its divisors is an integer number (10718922240).

Almost surely, 21322153606664 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 1322153606664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058033070080).

1322153606664 is an abundant number, since it is smaller than the sum of its proper divisors (2793912533496).

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

1322153606664 is a wasteful number, since it uses less digits than its factorization.

1322153606664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 1322153606664 in words is "one trillion, three hundred twenty-two billion, one hundred fifty-three million, six hundred six thousand, six hundred sixty-four".