Search a number
-
+
14663185164 = 22331976171117
BaseRepresentation
bin11011010011111111…
…00111001100001100
31101211220100222121000
431221333213030030
5220012233411124
610423002540300
71026240005655
oct155177471414
941756328530
1014663185164
116244a93051
122a12807690
1314c8b2b434
149d15ca52c
155ac4826c9
hex369fe730c

14663185164 has 96 divisors (see below), whose sum is σ = 38304826560. Its totient is φ = 4850689536.

The previous prime is 14663185127. The next prime is 14663185171. The reversal of 14663185164 is 46158136641.

14663185164 is a `hidden beast` number, since 1 + 4 + 6 + 631 + 8 + 5 + 1 + 6 + 4 = 666.

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, 13126734 + ... + 13127850.

It is an arithmetic number, because the mean of its divisors is an integer number (399008610).

Almost surely, 214663185164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14663185164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152413280).

14663185164 is an abundant number, since it is smaller than the sum of its proper divisors (23641641396).

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

14663185164 is a wasteful number, since it uses less digits than its factorization.

14663185164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1936 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 14663185164 in words is "fourteen billion, six hundred sixty-three million, one hundred eighty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 394 591 617 788 1117 1182 1234 1773 1851 2234 2364 2468 3351 3546 3702 4468 5319 5553 6702 7092 7404 10053 10638 11106 13404 16659 20106 21276 22212 30159 33318 40212 60318 66636 120636 121549 220049 243098 364647 440098 486196 660147 689189 729294 880196 1093941 1320294 1378378 1458588 1980441 2067567 2187882 2640588 2756756 3281823 3960882 4135134 4375764 5941323 6202701 6563646 7921764 8270268 11882646 12405402 13127292 18608103 23765292 24810804 37216206 74432412 135770233 271540466 407310699 543080932 814621398 1221932097 1629242796 2443864194 3665796291 4887728388 7331592582 14663185164