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15127973120 = 28513909133
BaseRepresentation
bin11100001011011001…
…01000110100000000
31110001021221122210202
432011230220310000
5221440230114440
610541044544332
71043612435621
oct160554506400
943037848722
1015127973120
11646338a127
122b223b20a8
1315712050b0
14a37217a48
155d8192615
hex385b28d00

15127973120 has 72 divisors (see below), whose sum is σ = 39023667816. Its totient is φ = 5585707008.

The previous prime is 15127973117. The next prime is 15127973137. The reversal of 15127973120 is 2137972151.

It can be written as a sum of positive squares in 4 ways, for example, as 1010731264 + 14117241856 = 31792^2 + 118816^2 .

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 7 ways as a sum of consecutive naturals, for example, 437927 + ... + 471206.

Almost surely, 215127973120 is an apocalyptic number.

15127973120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15127973120 is an abundant number, since it is smaller than the sum of its proper divisors (23895694696).

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

15127973120 is an equidigital number, since it uses as much as digits as its factorization.

15127973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909167 (or 909153 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 38.

The spelling of 15127973120 in words is "fifteen billion, one hundred twenty-seven million, nine hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 909133 1818266 3636532 4545665 7273064 9091330 11818729 14546128 18182660 23637458 29092256 36365320 47274916 58184512 59093645 72730640 94549832 116369024 118187290 145461280 189099664 232738048 236374580 290922560 378199328 472749160 581845120 756398656 945498320 1163690240 1512797312 1890996640 3025594624 3781993280 7563986560 15127973120