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13075898292 = 223218110491913
BaseRepresentation
bin11000010110110001…
…00101111110110100
31020202021121110100100
430023120211332310
5203234412221132
610001301514100
7642014205312
oct141330457664
936667543310
1013075898292
115600004a16
12264b112930
131305027132
148c08850b2
15517e4537c
hex30b625fb4

13075898292 has 72 divisors (see below), whose sum is σ = 33284651400. Its totient is φ = 4328156160.

The previous prime is 13075898267. The next prime is 13075898317. The reversal of 13075898292 is 29289857031.

13075898292 is a `hidden beast` number, since 1 + 30 + 7 + 589 + 8 + 29 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13075898267) and next prime (13075898317).

It can be written as a sum of positive squares in 4 ways, for example, as 2994935076 + 10080963216 = 54726^2 + 100404^2 .

It is a super-2 number, since 2×130758982922 (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 23 ways as a sum of consecutive naturals, for example, 6834328 + ... + 6836240.

It is an arithmetic number, because the mean of its divisors is an integer number (462286825).

Almost surely, 213075898292 is an apocalyptic number.

13075898292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13075898292 is an abundant number, since it is smaller than the sum of its proper divisors (20208753108).

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

13075898292 is a wasteful number, since it uses less digits than its factorization.

13075898292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 13075898292 in words is "thirteen billion, seventy-five million, eight hundred ninety-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1049 1086 1629 1913 2098 2172 3147 3258 3826 4196 5739 6294 6516 7652 9441 11478 12588 17217 18882 22956 34434 37764 68868 189869 346253 379738 569607 692506 759476 1038759 1139214 1385012 1708821 2006737 2077518 2278428 3116277 3417642 4013474 4155036 6020211 6232554 6835284 8026948 12040422 12465108 18060633 24080844 36121266 72242532 363219397 726438794 1089658191 1452877588 2179316382 3268974573 4358632764 6537949146 13075898292