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132212935224720 = 243257113617337607
BaseRepresentation
bin11110000011111100111001…
…000010011110110110010000
3122100010102200210001022201100
4132003330321002132312100
5114312134042404142340
61145105441155504400
736564032533565130
oct3603747102366620
9570112623038640
10132212935224720
1139144211171a79
12129b39045b8100
1358a081ac7aa3c
1424911d6a36ac0
151044266404830
hex783f3909ed90

132212935224720 has 480 divisors, whose sum is σ = 512033054787072. Its totient is φ = 29947016429568.

The previous prime is 132212935224701. The next prime is 132212935224817. The reversal of 132212935224720 is 27422539212231.

132212935224720 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 12 + 93 + 522 + 4 + 7 + 20 = 666.

It is a super-3 number, since 3×1322129352247203 (a number of 43 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3515628157 + ... + 3515665763.

Almost surely, 2132212935224720 is an apocalyptic number.

132212935224720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132212935224720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256016527393536).

132212935224720 is an abundant number, since it is smaller than the sum of its proper divisors (379820119562352).

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

132212935224720 is a wasteful number, since it uses less digits than its factorization.

132212935224720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43919 (or 43910 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 132212935224720 in words is "one hundred thirty-two trillion, two hundred twelve billion, nine hundred thirty-five million, two hundred twenty-four thousand, seven hundred twenty".