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132256655022204 = 223319971494879157
BaseRepresentation
bin11110000100100101100110…
…111100010001100001111100
3122100021121112200120011002000
4132010211212330101201330
5114313343112141202304
61145141511334502300
736600141126666426
oct3604454674214174
9570247480504060
10132256655022204
1139160806921a09
1212a00286204990
1358a49978960ab
142493383259816
151045474763939
hex784966f1187c

132256655022204 has 384 divisors, whose sum is σ = 367896641280000. Its totient is φ = 40968494751744.

The previous prime is 132256655022143. The next prime is 132256655022253. The reversal of 132256655022204 is 402220556652231.

It is a happy number.

132256655022204 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 56 + 6 + 550 + 22 + 20 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132256655022204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14443225194 + ... + 14443234350.

It is an arithmetic number, because the mean of its divisors is an integer number (958064170000).

Almost surely, 2132256655022204 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 132256655022204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183948320640000).

132256655022204 is an abundant number, since it is smaller than the sum of its proper divisors (235639986257796).

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

132256655022204 is a wasteful number, since it uses less digits than its factorization.

132256655022204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9922 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 132256655022204 in words is "one hundred thirty-two trillion, two hundred fifty-six billion, six hundred fifty-five million, twenty-two thousand, two hundred four".