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13876265000 = 235413213481
BaseRepresentation
bin11001110110001011…
…10000000000101000
31022211001122022001202
430323011300000220
5211404310440000
610212532303332
71000603210043
oct147305600050
938731568052
1013876265000
115980876304
122833171b48
131401aa7bc0
14958ca7c5a
15563340dd5
hex33b170028

13876265000 has 80 divisors (see below), whose sum is σ = 35013182820. Its totient is φ = 5123520000.

The previous prime is 13876264999. The next prime is 13876265027. The reversal of 13876265000 is 56267831.

It can be written as a sum of positive squares in 10 ways, for example, as 2069704036 + 11806560964 = 45494^2 + 108658^2 .

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 19 ways as a sum of consecutive naturals, for example, 41741 + ... + 171740.

Almost surely, 213876265000 is an apocalyptic number.

13876265000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13876265000 is an abundant number, since it is smaller than the sum of its proper divisors (21136917820).

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

13876265000 is a wasteful number, since it uses less digits than its factorization.

13876265000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213520 (or 213501 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 13876265000 in words is "thirteen billion, eight hundred seventy-six million, two hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 2500 2600 3250 5000 6500 8125 13000 16250 32500 65000 213481 426962 853924 1067405 1707848 2134810 2775253 4269620 5337025 5550506 8539240 10674050 11101012 13876265 21348100 22202024 26685125 27752530 42696200 53370250 55505060 69381325 106740500 111010120 133425625 138762650 213481000 266851250 277525300 346906625 533702500 555050600 693813250 1067405000 1387626500 1734533125 2775253000 3469066250 6938132500 13876265000