Search a number
-
+
132112206692544 = 263131721315772423
BaseRepresentation
bin11110000010011111000101…
…001001101000000011000000
3122022202210200211112201012110
4132002133011021220003000
5114304011244403130134
61144551302045455320
736553535432312121
oct3602370511500300
9568683624481173
10132112206692544
1139105521579971
1212998292871540
13589418754c090
14248a39cd32048
15104181d25d7e9
hex7827c52680c0

132112206692544 has 672 divisors, whose sum is σ = 403798320769536. Its totient is φ = 37885244866560.

The previous prime is 132112206692539. The next prime is 132112206692771. The reversal of 132112206692544 is 445296602211231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 132112206692493 and 132112206692502.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54524227717 + ... + 54524230139.

It is an arithmetic number, because the mean of its divisors is an integer number (600890358288).

Almost surely, 2132112206692544 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 132112206692544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201899160384768).

132112206692544 is an abundant number, since it is smaller than the sum of its proper divisors (271686114076992).

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

132112206692544 is a wasteful number, since it uses less digits than its factorization.

132112206692544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 132112206692544 in words is "one hundred thirty-two trillion, one hundred twelve billion, two hundred six million, six hundred ninety-two thousand, five hundred forty-four".