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231639585936132 = 223114791136627191
BaseRepresentation
bin110100101010110011001011…
…001111000101001100000100
31010101011112021000112012200110
4310222303023033011030010
5220330140332444424012
62140353431241313020
766535256610353433
oct6452631317051404
91111145230465613
10231639585936132
116789788447a590
1221b91378795770
139c3369997c8ba
14412b5b6c8311a
151bba7258e373c
hexd2accb3c5304

231639585936132 has 48 divisors (see below), whose sum is σ = 589640359762944. Its totient is φ = 70192346916000.

The previous prime is 231639585936071. The next prime is 231639585936133.

231639585936132 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (231639585936133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11989344 + ... + 24637847.

It is an arithmetic number, because the mean of its divisors is an integer number (12284174161728).

Almost surely, 2231639585936132 is an apocalyptic number.

231639585936132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231639585936132 is an abundant number, since it is smaller than the sum of its proper divisors (358000773826812).

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

231639585936132 is a wasteful number, since it uses less digits than its factorization.

231639585936132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36675120 (or 36675118 counting only the distinct ones).

The product of its digits is 188956800, while the sum is 66.

The spelling of 231639585936132 in words is "two hundred thirty-one trillion, six hundred thirty-nine billion, five hundred eighty-five million, nine hundred thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 47911 95822 143733 191644 287466 527021 574932 1054042 1581063 2108084 3162126 6324252 36627191 73254382 109881573 146508764 219763146 402899101 439526292 805798202 1208697303 1611596404 2417394606 4834789212 1754845348001 3509690696002 5264536044003 7019381392004 10529072088006 19303298828011 21058144176012 38606597656022 57909896484033 77213195312044 115819792968066 231639585936132