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15145009380 = 2232584138941
BaseRepresentation
bin11100001101011011…
…01000000011100100
31110002111000012011100
432012231220003210
5222004110300010
610542454040100
71044210312204
oct160655500344
943074005140
1015145009380
116471a65786
122b28049030
1315748bb517
14a395b0404
155d990a2c0
hex386b680e4

15145009380 has 36 divisors (see below), whose sum is σ = 45939862332. Its totient is φ = 4038669120.

The previous prime is 15145009379. The next prime is 15145009417. The reversal of 15145009380 is 8390054151.

15145009380 is a `hidden beast` number, since 1 + 514 + 50 + 0 + 93 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4837480704 + 10307528676 = 69552^2 + 101526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42069291 + ... + 42069650.

It is an arithmetic number, because the mean of its divisors is an integer number (1276107287).

Almost surely, 215145009380 is an apocalyptic number.

15145009380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15145009380 is an abundant number, since it is smaller than the sum of its proper divisors (30794852952).

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

15145009380 is a wasteful number, since it uses less digits than its factorization.

15145009380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84138956 (or 84138951 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 15145009380 in words is "fifteen billion, one hundred forty-five million, nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 84138941 168277882 252416823 336555764 420694705 504833646 757250469 841389410 1009667292 1262084115 1514500938 1682778820 2524168230 3029001876 3786252345 5048336460 7572504690 15145009380