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245263253949 = 327101127930137
BaseRepresentation
bin1110010001101011010…
…1000100000110111101
3212110001211002020002100
43210122311010012331
513004244343111244
6304401122415313
723501565155340
oct3443265040675
9773054066070
10245263253949
119501979289a
123b64a201539
131a18893368c
14bc296ba457
1565a7063b69
hex391ad441bd

245263253949 has 48 divisors (see below), whose sum is σ = 409220997120. Its totient is φ = 138649708800.

The previous prime is 245263253897. The next prime is 245263253959. The reversal of 245263253949 is 949352362542.

It is a happy number.

245263253949 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 63 + 2 + 539 + 49 = 666.

245263253949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 245263253949 - 28 = 245263253693 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 245263253895 and 245263253904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245263253959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8123209 + ... + 8153345.

It is an arithmetic number, because the mean of its divisors is an integer number (8525437440).

Almost surely, 2245263253949 is an apocalyptic number.

It is an amenable number.

245263253949 is a deficient number, since it is larger than the sum of its proper divisors (163957743171).

245263253949 is a wasteful number, since it uses less digits than its factorization.

245263253949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31530 (or 31527 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 245263253949 in words is "two hundred forty-five billion, two hundred sixty-three million, two hundred fifty-three thousand, nine hundred forty-nine".

Divisors: 1 3 7 9 21 63 101 303 707 909 1279 2121 3837 6363 8953 11511 26859 30137 80577 90411 129179 210959 271233 387537 632877 904253 1162611 1898631 2712759 3043837 8138277 9131511 21306859 27394533 38545223 63920577 115635669 191761731 269816561 346907007 809449683 2428349049 3893067523 11679202569 27251472661 35037607707 81754417983 245263253949