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13072206525 = 3527217892351
BaseRepresentation
bin11000010110010101…
…00000101010111101
31020202000122220012020
430023022200222331
5203232441102100
610001050430353
7641640631200
oct141312405275
936660586166
1013072206525
1155a8a13274
122649a323b9
131304333961
148c01a3937
155179665a0
hex30b2a0abd

13072206525 has 144 divisors (see below), whose sum is σ = 26930776320. Its totient is φ = 5558784000.

The previous prime is 13072206509. The next prime is 13072206527. The reversal of 13072206525 is 52560227031.

It is not a de Polignac number, because 13072206525 - 24 = 13072206509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13072206527) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5559100 + ... + 5561450.

It is an arithmetic number, because the mean of its divisors is an integer number (187019280).

Almost surely, 213072206525 is an apocalyptic number.

13072206525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13072206525 is an abundant number, since it is smaller than the sum of its proper divisors (13858569795).

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

13072206525 is a wasteful number, since it uses less digits than its factorization.

13072206525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 13072206525 in words is "thirteen billion, seventy-two million, two hundred six thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 89 105 119 147 175 245 255 267 357 425 445 525 595 623 735 833 1225 1275 1335 1513 1785 1869 2225 2351 2499 2975 3115 3675 4165 4361 4539 6675 7053 7565 8925 9345 10591 11755 12495 13083 15575 16457 20825 21805 22695 31773 35265 37825 39967 46725 49371 52955 58775 62475 65415 74137 82285 109025 113475 115199 119901 158865 176325 199835 209239 222411 246855 264775 279769 327075 345597 370685 411425 575995 599505 627717 794325 839307 999175 1046195 1112055 1234275 1398845 1464673 1727985 1853425 1958383 2879975 2997525 3138585 3557063 4196535 4394019 5230975 5560275 5875149 6994225 7323365 8639925 9791915 10252711 10671189 15692925 17785315 20982675 21970095 24899441 29375745 30758133 36616825 48959575 51263555 53355945 74698323 88926575 109850475 124497205 146878725 153790665 174296087 256317775 266779725 373491615 522888261 622486025 768953325 871480435 1867458075 2614441305 4357402175 13072206525