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14481198695664 = 2433171971840781
BaseRepresentation
bin1101001010111010101010…
…1101000100010011110000
31220021101111122011110002000
43102232222231010103300
53344224443331230124
650444323145054000
73023142413646531
oct322565255042360
956241448143060
1014481198695664
114683495159938
12175a678187300
13810756b5296c
14380c7267a688
151a1a511446c9
hexd2baab444f0

14481198695664 has 80 divisors (see below), whose sum is σ = 44011486254240. Its totient is φ = 4543121157120.

The previous prime is 14481198695617. The next prime is 14481198695687. The reversal of 14481198695664 is 46659689118441.

14481198695664 is a `hidden beast` number, since 1 + 4 + 48 + 1 + 19 + 8 + 6 + 9 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 14481198695592 and 14481198695601.

It is a congruent number.

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, 985913047 + ... + 985927734.

It is an arithmetic number, because the mean of its divisors is an integer number (550143578178).

Almost surely, 214481198695664 is an apocalyptic number.

It is an amenable number.

14481198695664 is an abundant number, since it is smaller than the sum of its proper divisors (29530287558576).

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

14481198695664 is a wasteful number, since it uses less digits than its factorization.

14481198695664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971840815 (or 1971840803 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 14481198695664 in words is "fourteen trillion, four hundred eighty-one billion, one hundred ninety-eight million, six hundred ninety-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 1971840781 3943681562 5915522343 7887363124 11831044686 15774726248 17746567029 23662089372 31549452496 33521293277 35493134058 47324178744 53239701087 67042586554 70986268116 94648357488 100563879831 106479402174 134085173108 141972536232 201127759662 212958804348 268170346216 283945072464 301691639493 402255519324 425917608696 536340692432 603383278986 804511038648 851835217392 905074918479 1206766557972 1609022077296 1810149836958 2413533115944 3620299673916 4827066231888 7240599347832 14481198695664