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514756026225 = 32527268332
BaseRepresentation
bin1110111110110011101…
…10011001111101110001
31211012200020021111211100
413133121312121331301
531413210020314400
61032250424035013
752122064013100
oct7373166317561
91735606244740
10514756026225
111893413a23a1
128391a902a69
133970628433c
141acb2c9a037
15d5cb304100
hex77d9d99f71

514756026225 has 81 divisors (see below), whose sum is σ = 1072670424033. Its totient is φ = 235282602240.

The previous prime is 514756026223. The next prime is 514756026247. The reversal of 514756026225 is 522620657415.

The square root of 514756026225 is 717465.

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

514756026225 is a `hidden beast` number, since 5 + 1 + 4 + 7 + 560 + 2 + 62 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 148057957089 + 366698069136 = 384783^2 + 605556^2 .

It is not a de Polignac number, because 514756026225 - 21 = 514756026223 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (514756026223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 75330409 + ... + 75337241.

Almost surely, 2514756026225 is an apocalyptic number.

514756026225 is the 717465-th square number.

514756026225 is the 358733-rd centered octagonal number.

It is an amenable number.

514756026225 is an abundant number, since it is smaller than the sum of its proper divisors (557914397808).

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

514756026225 is an frugal number, since it uses more digits than its factorization.

514756026225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13696 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 514756026225 in words is "five hundred fourteen billion, seven hundred fifty-six million, twenty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 6833 11025 20499 34165 47831 61497 102495 143493 170825 239155 307485 334817 430479 512475 717465 1004451 1195775 1537425 1674085 2152395 3013353 3587325 5022255 8370425 10761975 15066765 25111275 46689889 75333825 140069667 233449445 326829223 420209001 700348335 980487669 1167247225 1634146115 2101045005 2287804561 2941463007 3501741675 4902438345 6863413683 8170730575 10505225025 11439022805 14707315035 20590241049 24512191725 34317068415 57195114025 73536575175 102951205245 171585342075 514756026225