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14690917819008 = 273290247141307
BaseRepresentation
bin1101010111000111111011…
…1100000010001010000000
31221000102211022200202100200
43111301332330002022000
53411143444430202013
651124525305445200
73044245432044234
oct325617674021200
957012738622320
1014690917819008
114754424132282
1217932467a0800
138274698c88a2
1438b0894885c4
151a7227993e73
hexd5c7ef02280

14690917819008 has 96 divisors (see below), whose sum is σ = 42275413932960. Its totient is φ = 4896883689984.

The previous prime is 14690917818949. The next prime is 14690917819013. The reversal of 14690917819008 is 80091871909641.

14690917819008 is a `hidden beast` number, since 1 + 469 + 0 + 9 + 1 + 7 + 81 + 90 + 0 + 8 = 666.

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

It is a super-2 number, since 2×146909178190082 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103893891 + ... + 104035197.

It is an arithmetic number, because the mean of its divisors is an integer number (440368895135).

Almost surely, 214690917819008 is an apocalyptic number.

14690917819008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14690917819008 is an abundant number, since it is smaller than the sum of its proper divisors (27584496113952).

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

14690917819008 is a wasteful number, since it uses less digits than its factorization.

14690917819008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231574 (or 231559 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 14690917819008 in words is "fourteen trillion, six hundred ninety billion, nine hundred seventeen million, eight hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 90247 141307 180494 270741 282614 360988 423921 541482 565228 721976 812223 847842 1082964 1130456 1271763 1443952 1624446 1695684 2165928 2260912 2543526 2887904 3248892 3391368 4331856 4521824 5087052 5775808 6497784 6782736 8663712 9043648 10174104 11551616 12995568 13565472 17327424 18087296 20348208 25991136 27130944 34654848 40696416 51982272 54261888 81392832 103964544 162785664 12752532829 25505065658 38257598487 51010131316 76515196974 102020262632 114772795461 153030393948 204040525264 229545590922 306060787896 408081050528 459091181844 612121575792 816162101056 918182363688 1224243151584 1632324202112 1836364727376 2448486303168 3672729454752 4896972606336 7345458909504 14690917819008