Search a number
-
+
132245740606356 = 2234132323944912721
BaseRepresentation
bin11110000100011011011100…
…011001000101001110010100
3122100020120101001011101020000
4132010123130121011032110
5114313203234043400411
61145132504325011300
736566303506665156
oct3604333431051624
9570216331141200
10132245740606356
1139157115a29823
12129ba13ab53b30
1358a3948605770
142492a298a6ad6
15104503647c956
hex7846dc645394

132245740606356 has 480 divisors, whose sum is σ = 391022577792000. Its totient is φ = 38669607567360.

The previous prime is 132245740606319. The next prime is 132245740606391. The reversal of 132245740606356 is 653606047542231.

132245740606356 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 4 + 574 + 0 + 6 + 0 + 63 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10395854076 + ... + 10395866796.

It is an arithmetic number, because the mean of its divisors is an integer number (814630370400).

Almost surely, 2132245740606356 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 132245740606356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195511288896000).

132245740606356 is an abundant number, since it is smaller than the sum of its proper divisors (258776837185644).

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

132245740606356 is a wasteful number, since it uses less digits than its factorization.

132245740606356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13461 (or 13450 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 132245740606356 in words is "one hundred thirty-two trillion, two hundred forty-five billion, seven hundred forty million, six hundred six thousand, three hundred fifty-six".