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12966230304 = 253334994289
BaseRepresentation
bin11000001001101100…
…01111100100100000
31020110122020202011000
430010312033210200
5203023323332204
65542343152000
7636213065466
oct140466174440
936418222130
1012966230304
11555410a815
12261a445600
1312b83a9c31
148b0098836
1550d4d1039
hex304d8f920

12966230304 has 96 divisors (see below), whose sum is σ = 37837800000. Its totient is φ = 4319834112.

The previous prime is 12966230201. The next prime is 12966230311. The reversal of 12966230304 is 40303266921.

12966230304 is a `hidden beast` number, since 1 + 29 + 6 + 623 + 0 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3020992 + ... + 3025280.

It is an arithmetic number, because the mean of its divisors is an integer number (394143750).

Almost surely, 212966230304 is an apocalyptic number.

It is an amenable number.

12966230304 is an abundant number, since it is smaller than the sum of its proper divisors (24871569696).

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

12966230304 is a wasteful number, since it uses less digits than its factorization.

12966230304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7807 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 12966230304 in words is "twelve billion, nine hundred sixty-six million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3499 4289 6998 8578 10497 12867 13996 17156 20994 25734 27992 31491 34312 38601 41988 51468 55984 62982 68624 77202 83976 94473 102936 111968 115803 125964 137248 154404 167952 188946 205872 231606 251928 308808 335904 377892 411744 463212 503856 617616 755784 926424 1007712 1235232 1511568 1852848 3023136 3705696 15007211 30014422 45021633 60028844 90043266 120057688 135064899 180086532 240115376 270129798 360173064 405194697 480230752 540259596 720346128 810389394 1080519192 1440692256 1620778788 2161038384 3241557576 4322076768 6483115152 12966230304