Search a number
-
+
112461526164 = 223131753800119
BaseRepresentation
bin110100010111100111…
…0101011010010010100
3101202021122012110110210
41220233032223102110
53320310122314124
6123355240445420
711060621125401
oct1505716532224
9352248173423
10112461526164
1143770666159
1219967179870
13a7b3478370
14562c09b2a8
152dd3273a29
hex1a2f3ab494

112461526164 has 96 divisors (see below), whose sum is σ = 304864922880. Its totient is φ = 31953512448.

The previous prime is 112461526109. The next prime is 112461526171. The reversal of 112461526164 is 461625164211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259504 + ... + 540615.

It is an arithmetic number, because the mean of its divisors is an integer number (3175676280).

Almost surely, 2112461526164 is an apocalyptic number.

It is an amenable number.

112461526164 is an abundant number, since it is smaller than the sum of its proper divisors (192403396716).

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

112461526164 is a wasteful number, since it uses less digits than its factorization.

112461526164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800209 (or 800207 counting only the distinct ones).

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

The spelling of 112461526164 in words is "one hundred twelve billion, four hundred sixty-one million, five hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 53 68 78 102 106 156 159 204 212 221 318 442 636 663 689 884 901 1326 1378 1802 2067 2652 2703 2756 3604 4134 5406 8268 10812 11713 23426 35139 46852 70278 140556 800119 1600238 2400357 3200476 4800714 9601428 10401547 13602023 20803094 27204046 31204641 40806069 41606188 42406307 54408092 62409282 81612138 84812614 124818564 127218921 163224276 169625228 176826299 254437842 353652598 508875684 530478897 551281991 707305196 720907219 1060957794 1102563982 1441814438 1653845973 2121915588 2162721657 2205127964 2883628876 3307691946 4325443314 6615383892 8650886628 9371793847 18743587694 28115381541 37487175388 56230763082 112461526164