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14631793488 = 24321356313883
BaseRepresentation
bin11011010000001111…
…10111001101010000
31101202201022010022100
431220013313031100
5214431214342423
610415522040400
71025406123024
oct155007671520
941681263270
1014631793488
1162292a2014
122a041a9100
1314c2489b90
149cb378384
155a9831343
hex3681f7350

14631793488 has 120 divisors (see below), whose sum is σ = 44180109792. Its totient is φ = 4493769984.

The previous prime is 14631793457. The next prime is 14631793499. The reversal of 14631793488 is 88439713641.

14631793488 is a `hidden beast` number, since 1 + 4 + 63 + 17 + 93 + 488 = 666.

14631793488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146317934882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1046995 + ... + 1060877.

Almost surely, 214631793488 is an apocalyptic number.

14631793488 is a gapful number since it is divisible by the number (18) 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 14631793488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22090054896).

14631793488 is an abundant number, since it is smaller than the sum of its proper divisors (29548316304).

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

14631793488 is a wasteful number, since it uses less digits than its factorization.

14631793488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14473 (or 14464 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 14631793488 in words is "fourteen billion, six hundred thirty-one million, seven hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 563 624 936 1126 1689 1872 2252 3378 4504 5067 6756 7319 9008 10134 13512 13883 14638 20268 21957 27024 27766 29276 40536 41649 43914 55532 58552 65871 81072 83298 87828 111064 117104 124947 131742 166596 175656 180479 222128 249894 263484 333192 351312 360958 499788 526968 541437 666384 721916 999576 1053936 1082874 1443832 1624311 1999152 2165748 2887664 3248622 4331496 6497244 7816129 8662992 12994488 15632258 23448387 25988976 31264516 46896774 62529032 70345161 93793548 101609677 125058064 140690322 187587096 203219354 281380644 304829031 375174192 406438708 562761288 609658062 812877416 914487093 1125522576 1219316124 1625754832 1828974186 2438632248 3657948372 4877264496 7315896744 14631793488