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132999182273412 = 2234721337791131951
BaseRepresentation
bin11110001111011001001001…
…000000111100101110000100
3122102220121010200120202020000
4132033121021000330232010
5114413024311130222122
61150510551510441300
740004605502332200
oct3617311100745604
9572817120522200
10132999182273412
1139417700125904
1212b00171063230
1359299cc8667b0
1424bb2a2633b00
1510599321130ac
hex78f64903cb84

132999182273412 has 1440 divisors, whose sum is σ = 457240351518720. Its totient is φ = 33381360230400.

The previous prime is 132999182273401. The next prime is 132999182273423. The reversal of 132999182273412 is 214372281999231.

It is a happy number.

132999182273412 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 99 + 182 + 27 + 341 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (132999182273401) and next prime (132999182273423).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 132999182273412.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 68169749037 + ... + 68169750987.

It is an arithmetic number, because the mean of its divisors is an integer number (317528021888).

Almost surely, 2132999182273412 is an apocalyptic number.

132999182273412 is a gapful number since it is divisible by the number (12) 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 132999182273412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228620175759360).

132999182273412 is an abundant number, since it is smaller than the sum of its proper divisors (324241169245308).

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

132999182273412 is a wasteful number, since it uses less digits than its factorization.

132999182273412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2205 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 132999182273412 in words is "one hundred thirty-two trillion, nine hundred ninety-nine billion, one hundred eighty-two million, two hundred seventy-three thousand, four hundred twelve".