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14672293706016 = 253316981821419
BaseRepresentation
bin1101010110000010100011…
…0110101011100100100000
31220221122202101010210021000
43111200220312223210200
53410342324142043031
651112205250232000
73043016054513562
oct325405066534440
956848671123230
1014672293706016
114747537322561
12178b709585600
1382578c2a919b
1438a1ddbd9332
151a69d79083e6
hexd5828dab920

14672293706016 has 48 divisors (see below), whose sum is σ = 42794189978400. Its totient is φ = 4890764568384.

The previous prime is 14672293706009. The next prime is 14672293706053. The reversal of 14672293706016 is 61060739227641.

14672293706016 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 2 + 29 + 3 + 7 + 0 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8490909846 + ... + 8490911573.

It is an arithmetic number, because the mean of its divisors is an integer number (891545624550).

Almost surely, 214672293706016 is an apocalyptic number.

14672293706016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14672293706016 is an abundant number, since it is smaller than the sum of its proper divisors (28121896272384).

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

14672293706016 is a wasteful number, since it uses less digits than its factorization.

14672293706016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16981821438 (or 16981821424 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 14672293706016 in words is "fourteen trillion, six hundred seventy-two billion, two hundred ninety-three million, seven hundred six thousand, sixteen".

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 16981821419 33963642838 50945464257 67927285676 101890928514 135854571352 152836392771 203781857028 271709142704 305672785542 407563714056 458509178313 543418285408 611345571084 815127428112 917018356626 1222691142168 1630254856224 1834036713252 2445382284336 3668073426504 4890764568672 7336146853008 14672293706016