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13526555130 = 23251161922073
BaseRepresentation
bin11001001100011111…
…01101100111111010
31021220200121012022100
430212033231213322
5210200244231010
610114121004230
7656125551534
oct144617554772
937820535270
1013526555130
11581142a090
122756023676
1313774c3a9a
14924674854
155427b32c0
hex3263ed9fa

13526555130 has 96 divisors (see below), whose sum is σ = 38429951040. Its totient is φ = 3273719040.

The previous prime is 13526555129. The next prime is 13526555137. The reversal of 13526555130 is 3155562531.

13526555130 is a `hidden beast` number, since 1 + 3 + 526 + 55 + 51 + 30 = 666.

It is not an unprimeable number, because it can be changed into a prime (13526555137) 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, 601774 + ... + 623846.

It is an arithmetic number, because the mean of its divisors is an integer number (400311990).

Almost surely, 213526555130 is an apocalyptic number.

13526555130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13526555130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214975520).

13526555130 is an abundant number, since it is smaller than the sum of its proper divisors (24903395910).

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

13526555130 is a wasteful number, since it uses less digits than its factorization.

13526555130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22716 (or 22713 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 13526555130 in words is "thirteen billion, five hundred twenty-six million, five hundred fifty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 619 990 1238 1857 3095 3714 5571 6190 6809 9285 11142 13618 18570 20427 22073 27855 34045 40854 44146 55710 61281 66219 68090 102135 110365 122562 132438 198657 204270 220730 242803 306405 331095 397314 485606 612810 662190 728409 993285 1214015 1456818 1986570 2185227 2428030 3642045 4370454 7284090 10926135 13663187 21852270 27326374 40989561 68315935 81979122 122968683 136631870 150295057 204947805 245937366 300590114 409895610 450885171 614843415 751475285 901770342 1229686830 1352655513 1502950570 2254425855 2705311026 4508851710 6763277565 13526555130