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147823800264 = 233278926912251
BaseRepresentation
bin1000100110101011111…
…1000010111111001000
3112010120002120010001100
42021222333002333020
54410220343102024
6151524225021400
713452132366420
oct2115277027710
9463502503040
10147823800264
1157767755078
1224795a84860
1310c2a761bca
14722474b480
153ca2a147c9
hex226afc2fc8

147823800264 has 192 divisors, whose sum is σ = 464448816000. Its totient is φ = 41602176000.

The previous prime is 147823800253. The next prime is 147823800269. The reversal of 147823800264 is 462008328741.

It is a happy number.

147823800264 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 2 + 380 + 0 + 264 = 666.

It is not an unprimeable number, because it can be changed into a prime (147823800269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12060139 + ... + 12072389.

It is an arithmetic number, because the mean of its divisors is an integer number (2419004250).

Almost surely, 2147823800264 is an apocalyptic number.

147823800264 is a gapful number since it is divisible by the number (14) 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 147823800264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232224408000).

147823800264 is an abundant number, since it is smaller than the sum of its proper divisors (316625015736).

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

147823800264 is a wasteful number, since it uses less digits than its factorization.

147823800264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12628 (or 12621 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 147823800264 in words is "one hundred forty-seven billion, eight hundred twenty-three million, eight hundred thousand, two hundred sixty-four".