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16945800012 = 223213115312347
BaseRepresentation
bin11111100100000110…
…00110001101001100
31121201222111211111200
433302003012031030
5234201111100022
611441303145500
71136634631521
oct176203061514
947658454450
1016945800012
11720650a3a9
12334b145290
1317a09c73cb
14b6a811148
15692a6cbac
hex3f20c634c

16945800012 has 72 divisors (see below), whose sum is σ = 43208797632. Its totient is φ = 5599432800.

The previous prime is 16945799977. The next prime is 16945800029. The reversal of 16945800012 is 21000854961.

16945800012 is a `hidden beast` number, since 1 + 69 + 4 + 580 + 0 + 0 + 12 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16945800012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7219023 + ... + 7221369.

Almost surely, 216945800012 is an apocalyptic number.

16945800012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16945800012 is an abundant number, since it is smaller than the sum of its proper divisors (26262997620).

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

16945800012 is a wasteful number, since it uses less digits than its factorization.

16945800012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 16945800012 in words is "sixteen billion, nine hundred forty-five million, eight hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1531 1572 2347 2358 3062 4593 4694 4716 6124 7041 9186 9388 13779 14082 18372 21123 27558 28164 42246 55116 84492 200561 307457 401122 601683 614914 802244 922371 1203366 1229828 1805049 1844742 2406732 2767113 3593257 3610098 3689484 5534226 7186514 7220196 10779771 11068452 14373028 21559542 32339313 43119084 64678626 129357252 470716667 941433334 1412150001 1882866668 2824300002 4236450003 5648600004 8472900006 16945800012