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1329086556 = 223671923149
BaseRepresentation
bin100111100111000…
…0100000001011100
310102121220121000000
41033032010001130
510210221232211
6335514534300
744636022630
oct11716040134
93377817000
101329086556
11622264446
12311137390
13182480265
14c8732dc0
157ba38656
hex4f38405c

1329086556 has 336 divisors, whose sum is σ = 4406976000. Its totient is φ = 341801856.

The previous prime is 1329086519. The next prime is 1329086609. The reversal of 1329086556 is 6556809231.

1329086556 is a `hidden beast` number, since 1 + 3 + 2 + 90 + 8 + 6 + 556 = 666.

It is a super-2 number, since 2×13290865562 = 3532942146679882272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8919970 + ... + 8920118.

It is an arithmetic number, because the mean of its divisors is an integer number (13116000).

Almost surely, 21329086556 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 1329086556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203488000).

1329086556 is an abundant number, since it is smaller than the sum of its proper divisors (3077889444).

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

1329086556 is a wasteful number, since it uses less digits than its factorization.

1329086556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1329086556 is about 36456.6393953145. The cubic root of 1329086556 is about 1099.4726276434.

The spelling of 1329086556 in words is "one billion, three hundred twenty-nine million, eighty-six thousand, five hundred fifty-six".