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132262461045225 = 3252719231721111659
BaseRepresentation
bin11110000100101011000001…
…000000011111100111101001
3122100022011112022121200100200
4132010223001000133213221
5114313442010011421400
61145144311422022413
736600435040244310
oct3604530100374751
9570264468550320
10132262461045225
1139163216203a45
1212a01426717a09
1358a53b1706184
1424937743b3277
1510456b4331b00
hex784ac101f9e9

132262461045225 has 288 divisors, whose sum is σ = 297554855270400. Its totient is φ = 54757797811200.

The previous prime is 132262461045193. The next prime is 132262461045289. The reversal of 132262461045225 is 522540164262231.

132262461045225 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 6 + 2 + 4 + 610 + 4 + 5 + 2 + 25 = 666.

It is not a de Polignac number, because 132262461045225 - 25 = 132262461045193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1184465446 + ... + 1184577104.

It is an arithmetic number, because the mean of its divisors is an integer number (1033176580800).

Almost surely, 2132262461045225 is an apocalyptic number.

132262461045225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132262461045225 is an abundant number, since it is smaller than the sum of its proper divisors (165292394225175).

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

132262461045225 is a wasteful number, since it uses less digits than its factorization.

132262461045225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113445 (or 113437 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 132262461045225 in words is "one hundred thirty-two trillion, two hundred sixty-two billion, four hundred sixty-one million, forty-five thousand, two hundred twenty-five".