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132150323033640 = 233257918012580031
BaseRepresentation
bin11110000011000010100101…
…000011111011011000101000
3122022220110002020011110110100
4132003002211003323120220
5114310122330144034030
61145021004215145400
736556355125003032
oct3603024503733050
9568813066143410
10132150323033640
113911a70122310a
12129a374b975260
13589795029c972
14248c17728ac52
1510427ee6b4360
hex7830a50fb628

132150323033640 has 192 divisors, whose sum is σ = 435166773350400. Its totient is φ = 34774676352000.

The previous prime is 132150323033621. The next prime is 132150323033671. The reversal of 132150323033640 is 46330323051231.

132150323033640 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 0 + 3 + 2 + 3 + 0 + 3 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132150323033595 and 132150323033604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49930425 + ... + 52510455.

It is an arithmetic number, because the mean of its divisors is an integer number (2266493611200).

Almost surely, 2132150323033640 is an apocalyptic number.

132150323033640 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 132150323033640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217583386675200).

132150323033640 is an abundant number, since it is smaller than the sum of its proper divisors (303016450316760).

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

132150323033640 is a wasteful number, since it uses less digits than its factorization.

132150323033640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581928 (or 2581921 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 132150323033640 its reverse (46330323051231), we get a palindrome (178480646084871).

The spelling of 132150323033640 in words is "one hundred thirty-two trillion, one hundred fifty billion, three hundred twenty-three million, thirty-three thousand, six hundred forty".