Search a number
-
+
14657020392 = 2337241563643
BaseRepresentation
bin11011010011010000…
…00110000111101000
31101211110202210010010
431221220012013220
5220004144123032
610422222451520
71026133421610
oct155150060750
941743683103
1014657020392
1162415623a3
122a10733ba0
1314c7780441
149d0863a40
155abb65ccc
hex369a061e8

14657020392 has 128 divisors (see below), whose sum is σ = 42191170560. Its totient is φ = 4156462080.

The previous prime is 14657020369. The next prime is 14657020421. The reversal of 14657020392 is 29302075641.

It is a self number, because there is not a number n which added to its sum of digits gives 14657020392.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22794423 + ... + 22795065.

It is an arithmetic number, because the mean of its divisors is an integer number (329618520).

Almost surely, 214657020392 is an apocalyptic number.

14657020392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14657020392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21095585280).

14657020392 is an abundant number, since it is smaller than the sum of its proper divisors (27534150168).

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

14657020392 is a wasteful number, since it uses less digits than its factorization.

14657020392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 14657020392 in words is "fourteen billion, six hundred fifty-seven million, twenty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 482 563 643 723 964 1126 1286 1446 1687 1689 1928 1929 2252 2572 2892 3374 3378 3858 3941 4501 4504 5061 5144 5784 6748 6756 7716 7882 9002 10122 11823 13496 13503 13512 15432 15764 18004 20244 23646 27006 31528 36008 40488 47292 54012 94584 108024 135683 154963 271366 309926 362009 407049 464889 542732 619852 724018 814098 929778 949781 1084741 1085464 1086027 1239704 1448036 1628196 1859556 1899562 2169482 2172054 2534063 2849343 2896072 3254223 3256392 3719112 3799124 4338964 4344108 5068126 5698686 6508446 7598248 7602189 8677928 8688216 10136252 11397372 13016892 15204378 20272504 22794744 26033784 30408756 60817512 87244169 174488338 261732507 348976676 523465014 610709183 697953352 1046930028 1221418366 1832127549 2093860056 2442836732 3664255098 4885673464 7328510196 14657020392