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245529492345 = 32561421212461
BaseRepresentation
bin1110010010101010110…
…0101011101101111001
3212110202101001112111200
43210222230223231321
513010321022223340
6304443353044413
723511310151514
oct3445254535571
9773671045450
10245529492345
1195145aa7725
123b7033b6709
131a1cbb402a7
14bc52bc1d7b
1565c0604330
hex392ab2bb79

245529492345 has 48 divisors (see below), whose sum is σ = 433590749904. Its totient is φ = 128495808000.

The previous prime is 245529492331. The next prime is 245529492353. The reversal of 245529492345 is 543294925542.

245529492345 is a `hidden beast` number, since 2 + 4 + 5 + 5 + 294 + 9 + 2 + 345 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 180498372201 + 65031120144 = 424851^2 + 255012^2 .

It is not a de Polignac number, because 245529492345 - 27 = 245529492217 is a prime.

It is a super-2 number, since 2×2455294923452 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245529492291 and 245529492300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049415 + ... + 1261875.

It is an arithmetic number, because the mean of its divisors is an integer number (9033140623).

Almost surely, 2245529492345 is an apocalyptic number.

It is an amenable number.

245529492345 is a deficient number, since it is larger than the sum of its proper divisors (188061257559).

245529492345 is a wasteful number, since it uses less digits than its factorization.

245529492345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212954 (or 212951 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 245529492345 in words is "two hundred forty-five billion, five hundred twenty-nine million, four hundred ninety-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 61 183 305 421 549 915 1263 2105 2745 3789 6315 18945 25681 77043 128405 212461 231129 385215 637383 1062305 1155645 1912149 3186915 9560745 12960121 38880363 64800605 89446081 116641089 194401815 268338243 447230405 583205445 805014729 1341691215 4025073645 5456210941 16368632823 27281054705 49105898469 81843164115 245529492345