Search a number
-
+
11604315684 = 223133119312433
BaseRepresentation
bin10101100111010101…
…11100111000100100
31002221201120022111210
422303222330320210
5142231201100214
65155252431420
7560365025103
oct126352747044
932851508453
1011604315684
114a15374145
1222ba318570
13112c1a46b0
147c125c03a
1547db60b59
hex2b3abce24

11604315684 has 96 divisors (see below), whose sum is σ = 30258586624. Its totient is φ = 3437199360.

The previous prime is 11604315631. The next prime is 11604315761. The reversal of 11604315684 is 48651340611.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 927132 + ... + 939564.

Almost surely, 211604315684 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 11604315684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15129293312).

11604315684 is an abundant number, since it is smaller than the sum of its proper divisors (18654270940).

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

11604315684 is a wasteful number, since it uses less digits than its factorization.

11604315684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12677 (or 12675 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 11604315684 in words is "eleven billion, six hundred four million, three hundred fifteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 193 372 386 403 579 772 806 1158 1209 1612 2316 2418 2509 4836 5018 5983 7527 10036 11966 12433 15054 17949 23932 24866 30108 35898 37299 49732 71796 74598 77779 149196 155558 161629 233337 311116 323258 385423 466674 484887 646516 770846 933348 969774 1156269 1541692 1939548 2312538 2399569 4625076 4799138 5010499 7198707 9598276 10020998 14397414 15031497 20041996 28794828 30062994 31194397 60125988 62388794 74386639 93583191 124777588 148773278 187166382 223159917 297546556 374332764 446319834 892639668 967026307 1934052614 2901078921 3868105228 5802157842 11604315684