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13706555625 = 3254722232
BaseRepresentation
bin11001100001111100…
…10111000011101001
31022101020022011120100
430300332113003221
5211032334240000
610144031020013
7663442541400
oct146076270351
938336264510
1013706555625
1158a3aa2124
1227a636a609
1313a5897c59
1494052c637
155534bba00
hex330f970e9

13706555625 has 135 divisors (see below), whose sum is σ = 28908850113. Its totient is φ = 6237756000.

The previous prime is 13706555617. The next prime is 13706555647. The reversal of 13706555625 is 52655560731.

The square root of 13706555625 is 117075.

It is a perfect power (a square), and thus also a powerful number.

13706555625 is a `hidden beast` number, since 1 + 3 + 70 + 6 + 5 + 556 + 25 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1074593961 + 12631961664 = 32781^2 + 112392^2 .

It is not a de Polignac number, because 13706555625 - 23 = 13706555617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 61464264 + ... + 61464486.

Almost surely, 213706555625 is an apocalyptic number.

13706555625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13706555625 is the 117075-th square number.

13706555625 is the 58538-th centered octagonal number.

It is an amenable number.

13706555625 is an abundant number, since it is smaller than the sum of its proper divisors (15202294488).

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

13706555625 is an frugal number, since it uses more digits than its factorization.

13706555625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 13706555625 in words is "thirteen billion, seven hundred six million, five hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 223 225 245 315 375 441 525 625 669 735 875 1115 1125 1225 1561 1575 1875 2007 2205 2625 3345 3675 4375 4683 5575 5625 6125 7805 7875 10035 10927 11025 13125 14049 16725 18375 23415 27875 30625 32781 39025 39375 49729 50175 54635 55125 70245 83625 91875 98343 117075 139375 149187 163905 195125 248645 250875 273175 275625 348103 351225 418125 447561 491715 585375 745935 819525 975625 1044309 1243225 1254375 1365875 1740515 1756125 2237805 2436721 2458575 2926875 3132927 3729675 4097625 5221545 6216125 6829375 7310163 8702575 8780625 11189025 12183605 12292875 15664635 18648375 20488125 21930489 26107725 31080625 36550815 43512875 55945125 60918025 61464375 78323175 93241875 109652445 130538625 182754075 217564375 279725625 304590125 391615875 548262225 652693125 913770375 1522950625 1958079375 2741311125 4568851875 13706555625