Search a number
-
+
12256515305406 = 2321677187567323
BaseRepresentation
bin1011001001011011000100…
…1111011010111110111110
31121101201012121212202201100
42302112301033122332332
53101302320404233111
642022322043153530
72403334606101531
oct262266117327676
947351177782640
1012256515305406
1139a5a603aa479
12145b48a2158a6
136aba2752ac78
1430530b81aa18
15163c47c10756
hexb25b13dafbe

12256515305406 has 48 divisors (see below), whose sum is σ = 26718564023424. Its totient is φ = 4060468788432.

The previous prime is 12256515305389. The next prime is 12256515305407. The reversal of 12256515305406 is 60450351565221.

12256515305406 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 6 + 51 + 53 + 0 + 540 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12256515305407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21320461 + ... + 21887783.

It is an arithmetic number, because the mean of its divisors is an integer number (556636750488).

Almost surely, 212256515305406 is an apocalyptic number.

12256515305406 is an abundant number, since it is smaller than the sum of its proper divisors (14462048718018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12256515305406 is a wasteful number, since it uses less digits than its factorization.

12256515305406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574685 (or 574682 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 12256515305406 in words is "twelve trillion, two hundred fifty-six billion, five hundred fifteen million, three hundred five thousand, four hundred six".

Divisors: 1 2 3 6 9 18 167 334 501 1002 1503 3006 7187 14374 21561 43122 64683 129366 567323 1134646 1200229 1701969 2400458 3403938 3600687 5105907 7201374 10211814 10802061 21604122 94742941 189485882 284228823 568457646 852686469 1705372938 4077350401 8154700802 12232051203 24464102406 36696153609 73392307218 680917516967 1361835033934 2042752550901 4085505101802 6128257652703 12256515305406