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207806516164 = 221328921972
BaseRepresentation
bin1100000110001000111…
…0111100101111000100
3201212101101121210110201
43001202032330233010
511401041432004124
6235244234500244
721004432146232
oct3014216745704
9655341553421
10207806516164
11801483a7355
1234335b94684
1316799749c00
14a0b4bc1952
1556139a1144
hex30623bcbc4

207806516164 has 81 divisors (see below), whose sum is σ = 400293383637. Its totient is φ = 94351665408.

The previous prime is 207806516161. The next prime is 207806516171. The reversal of 207806516164 is 461615608702.

The square root of 207806516164 is 455858.

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

It can be written as a sum of positive squares in 13 ways, for example, as 120379853764 + 87426662400 = 346958^2 + 295680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (207806516161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1054855314 + ... + 1054855510.

Almost surely, 2207806516164 is an apocalyptic number.

207806516164 is the 455858-th square number.

It is an amenable number.

207806516164 is a deficient number, since it is larger than the sum of its proper divisors (192486867473).

207806516164 is an equidigital number, since it uses as much as digits as its factorization.

207806516164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 207806516164 in words is "two hundred seven billion, eight hundred six million, five hundred sixteen thousand, one hundred sixty-four".

Divisors: 1 2 4 13 26 52 89 169 178 197 338 356 394 676 788 1157 2314 2561 4628 5122 7921 10244 15041 15842 17533 30082 31684 33293 35066 38809 60164 66586 70132 77618 102973 133172 155236 205946 227929 411892 455858 504517 911716 1009034 1338649 1560437 2018068 2677298 2963077 3120874 3454001 5354596 5926154 6241748 6558721 6908002 11852308 13117442 13816004 20285681 26234884 40571362 44902013 81142724 89804026 179608052 263713853 307406089 527427706 583726169 614812178 1054855412 1167452338 1229624356 2334904676 3996279157 7992558314 15985116628 51951629041 103903258082 207806516164