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8532149472 = 2533711289131
BaseRepresentation
bin1111111001000111…
…00100010011100000
3211000121202002202000
413330203210103200
5114433212240342
63530345324000
7421302034230
oct77443442340
924017662660
108532149472
1136891a3200
1217a1496600
13a5c873672
145ad22bcc0
1534e0b444c
hex1fc8e44e0

8532149472 has 576 divisors, whose sum is σ = 31853606400. Its totient is φ = 2174515200.

The previous prime is 8532149467. The next prime is 8532149489. The reversal of 8532149472 is 2749412358.

8532149472 is a `hidden beast` number, since 8 + 5 + 32 + 149 + 472 = 666.

It is a super-2 number, since 2×85321494722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 65130847 + ... + 65130977.

It is an arithmetic number, because the mean of its divisors is an integer number (55301400).

Almost surely, 28532149472 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 8532149472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15926803200).

8532149472 is an abundant number, since it is smaller than the sum of its proper divisors (23321456928).

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

8532149472 is a wasteful number, since it uses less digits than its factorization.

8532149472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 243 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 8532149472 is about 92369.6350106462. The cubic root of 8532149472 is about 2043.3973149179.

The spelling of 8532149472 in words is "eight billion, five hundred thirty-two million, one hundred forty-nine thousand, four hundred seventy-two".