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132331523076 = 223219231912
BaseRepresentation
bin111101100111110010…
…0101100110000000100
3110122120102002220000100
41323033210230300010
54132003332214301
6140443043444100
712363204246504
oct1731744546004
9418512086010
10132331523076
1151137770a05
1221791686630
13c62bc35c9c
146594dc1a04
1536978b0286
hex1ecf92cc04

132331523076 has 81 divisors (see below), whose sum is σ = 353147468583. Its totient is φ = 41775806160.

The previous prime is 132331523041. The next prime is 132331523081. The reversal of 132331523076 is 670325133231.

The square root of 132331523076 is 363774.

It is a perfect power (a square), and thus also a powerful number.

132331523076 is a `hidden beast` number, since 1 + 32 + 3 + 31 + 523 + 0 + 76 = 666.

It is a super-2 number, since 2×1323315230762 (a number of 23 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 132331523076.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41468641 + ... + 41471831.

Almost surely, 2132331523076 is an apocalyptic number.

132331523076 is the 363774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132331523076

132331523076 is an abundant number, since it is smaller than the sum of its proper divisors (220815945507).

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

132331523076 is an equidigital number, since it uses as much as digits as its factorization.

132331523076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

Multiplying 132331523076 by its sum of digits (36), we get a square (4763934830736 = 21826442).

132331523076 divided by its sum of digits (36) gives a square (3675875641 = 606292).

The spelling of 132331523076 in words is "one hundred thirty-two billion, three hundred thirty-one million, five hundred twenty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3191 3249 4332 6382 6498 9573 12764 12996 19146 28719 38292 57438 60629 114876 121258 181887 242516 363774 545661 727548 1091322 1151951 2182644 2303902 3455853 4607804 6911706 10182481 10367559 13823412 20364962 20735118 30547443 40729924 41470236 61094886 91642329 122189772 183284658 193467139 366569316 386934278 580401417 773868556 1160802834 1741204251 2321605668 3482408502 3675875641 6964817004 7351751282 11027626923 14703502564 22055253846 33082880769 44110507692 66165761538 132331523076