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199697265625 = 510112132
BaseRepresentation
bin1011100111111011100…
…0100111001111011001
3201002110020122012000011
42321332320213033121
511232440000000000
6231423433241521
720266453515334
oct2717670471731
9632406565004
10199697265625
117776699a400
12328522632a1
1315aa66a4900
149945bd961b
1552dbac52ba
hex2e7ee273d9

199697265625 has 99 divisors (see below), whose sum is σ = 297106927509. Its totient is φ = 134062500000.

The previous prime is 199697265623. The next prime is 199697265641. The reversal of 199697265625 is 526562796991.

The square root of 199697265625 is 446875.

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

It can be written as a sum of positive squares in 16 ways, for example, as 158624568729 + 41072696896 = 398277^2 + 202664^2 .

It is not a de Polignac number, because 199697265625 - 21 = 199697265623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199697265623) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 15361328119 + ... + 15361328131.

Almost surely, 2199697265625 is an apocalyptic number.

199697265625 is the 446875-th square number.

199697265625 is the 223438-th centered octagonal number.

It is an amenable number.

199697265625 is a deficient number, since it is larger than the sum of its proper divisors (97409661884).

199697265625 is an frugal number, since it uses more digits than its factorization.

199697265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 29 counting only the distinct ones).

The product of its digits is 110224800, while the sum is 67.

The spelling of 199697265625 in words is "one hundred ninety-nine billion, six hundred ninety-seven million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 121 125 143 169 275 325 605 625 715 845 1375 1573 1625 1859 3025 3125 3575 4225 6875 7865 8125 9295 15125 15625 17875 20449 21125 34375 39325 40625 46475 75625 78125 89375 102245 105625 171875 196625 203125 232375 378125 390625 446875 511225 528125 859375 983125 1015625 1161875 1890625 1953125 2234375 2556125 2640625 4296875 4915625 5078125 5809375 9453125 9765625 11171875 12780625 13203125 21484375 24578125 25390625 29046875 47265625 55859375 63903125 66015625 107421875 122890625 126953125 145234375 236328125 279296875 319515625 330078125 614453125 726171875 1181640625 1396484375 1597578125 1650390625 3072265625 3630859375 7987890625 15361328125 18154296875 39939453125 199697265625