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19688299225 = 52721922112
BaseRepresentation
bin10010010101100000…
…111001101011011001
31212211010000020011121
4102111200321223121
5310310201033400
613013352325241
71264615532200
oct222540715331
955733006147
1019688299225
118393593681
1239956a3821
131b19c410ca
14d4ab48237
157a36ea21a
hex495839ad9

19688299225 has 81 divisors (see below), whose sum is σ = 30115463391. Its totient is φ = 12729376800.

The previous prime is 19688299171. The next prime is 19688299249. The reversal of 19688299225 is 52299288691.

The square root of 19688299225 is 140315.

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

It can be written as a sum of positive squares in only one way, i.e., 7087787721 + 12600511504 = 84189^2 + 112252^2 .

It is not a de Polignac number, because 19688299225 - 29 = 19688298713 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 93309370 + ... + 93309580.

Almost surely, 219688299225 is an apocalyptic number.

19688299225 is the 140315-th square number.

19688299225 is the 70158-th centered octagonal number.

It is an amenable number.

19688299225 is a deficient number, since it is larger than the sum of its proper divisors (10427164166).

19688299225 is an equidigital number, since it uses as much as digits as its factorization.

19688299225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 61.

The spelling of 19688299225 in words is "nineteen billion, six hundred eighty-eight million, two hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 19 25 35 49 95 133 175 211 245 361 475 665 931 1055 1225 1477 1805 2527 3325 4009 4655 5275 7385 9025 10339 12635 17689 20045 23275 28063 36925 44521 51695 63175 76171 88445 100225 140315 196441 222605 258475 311647 380855 442225 533197 701575 845899 982205 1113025 1558235 1904275 2181529 2665985 3732379 4229495 4911025 5921293 7791175 10907645 13329925 16072081 18661895 21147475 29606465 41449051 54538225 80360405 93309475 112504567 148032325 207245255 401802025 562522835 787531969 1036226275 2812614175 3937659845 19688299225