Search a number
-
+
332160181236 = 22321331201711351
BaseRepresentation
bin1001101010101100100…
…10100010001111110100
31011202100210222111200200
410311112102202033310
520420231001244421
6412331533240500
732666144645562
oct4652622421764
91152323874620
10332160181236
11118960843484
125445b933130
13254268c3150
1412110420a32
158990c8b726
hex4d564a23f4

332160181236 has 144 divisors (see below), whose sum is σ = 933927042048. Its totient is φ = 98848512000.

The previous prime is 332160181231. The next prime is 332160181259. The reversal of 332160181236 is 632181061233.

332160181236 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 601 + 8 + 12 + 36 = 666.

It is a super-2 number, since 2×3321601812362 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 332160181236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332160181231) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29256961 + ... + 29268311.

Almost surely, 2332160181236 is an apocalyptic number.

332160181236 is a gapful number since it is divisible by the number (36) 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 332160181236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466963521024).

332160181236 is an abundant number, since it is smaller than the sum of its proper divisors (601766860812).

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

332160181236 is a wasteful number, since it uses less digits than its factorization.

332160181236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13422 (or 13417 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 332160181236 in words is "three hundred thirty-two billion, one hundred sixty million, one hundred eighty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2017 2418 3627 4034 4836 6051 7254 8068 11351 12102 14508 18153 22702 24204 26221 34053 36306 45404 52442 62527 68106 72612 78663 102159 104884 125054 136212 147563 157326 187581 204318 235989 250108 295126 314652 351881 375162 408636 442689 471978 562743 590252 703762 750324 812851 885378 943956 1055643 1125486 1328067 1407524 1625702 1770756 2111286 2250972 2438553 2656134 3166929 3251404 4222572 4574453 4877106 5312268 6333858 7315659 9148906 9754212 12667716 13723359 14631318 18297812 22894967 27446718 29262636 41170077 45789934 54893436 68684901 82340154 91579868 137369802 164680308 206054703 274739604 297634571 412109406 595269142 709743977 824218812 892903713 1190538284 1419487954 1785807426 2129231931 2678711139 2838975908 3571614852 4258463862 5357422278 6387695793 8516927724 9226671701 10714844556 12775391586 18453343402 25550783172 27680015103 36906686804 55360030206 83040045309 110720060412 166080090618 332160181236