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245360724921 = 321349772
BaseRepresentation
bin1110010010000010100…
…0111000101110111001
3212110022121111021010100
43210200220320232321
513004444321144141
6304414523510013
723504160515304
oct3444050705671
9773277437110
10245360724921
1195069807214
123b676988309
131a1a2ba0000
14bc3860db3b
1565b08b90b6
hex3920a38bb9

245360724921 has 45 divisors (see below), whose sum is σ = 384336447131. Its totient is φ = 150836669568.

The previous prime is 245360724887. The next prime is 245360724943. The reversal of 245360724921 is 129427063542.

The square root of 245360724921 is 495339.

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

245360724921 is a `hidden beast` number, since 2 + 4 + 536 + 0 + 7 + 24 + 92 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 182025956025 + 63334768896 = 426645^2 + 251664^2 .

It is not a de Polignac number, because 245360724921 - 225 = 245327170489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (245360724971) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 251136385 + ... + 251137361.

Almost surely, 2245360724921 is an apocalyptic number.

245360724921 is the 495339-th square number.

245360724921 is the 247670-th centered octagonal number.

It is an amenable number.

245360724921 is a deficient number, since it is larger than the sum of its proper divisors (138975722210).

245360724921 is an frugal number, since it uses more digits than its factorization.

245360724921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 245360724921 in words is "two hundred forty-five billion, three hundred sixty million, seven hundred twenty-four thousand, nine hundred twenty-one".

Divisors: 1 3 9 13 39 117 169 507 977 1521 2197 2931 6591 8793 12701 19773 28561 38103 85683 114309 165113 257049 495339 954529 1486017 2146469 2863587 6439407 8590761 12408877 19318221 27904097 37226631 83712291 111679893 161315401 251136873 483946203 1451838609 2097100213 6291300639 18873901917 27262302769 81786908307 245360724921