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132114997271376 = 24337177136196207
BaseRepresentation
bin11110000010100001101011…
…011110110101101101010000
3122022210001220022111210201000
4132002201223132311231100
5114304033003300141001
61144552443013342000
736553664535661350
oct3602415336655520
9568701808453630
10132114997271376
1139106723802069
1212998931337900
13589451072b062
14248a5857c2b60
151041933236a86
hex78286b7b5b50

132114997271376 has 320 divisors, whose sum is σ = 465350032834560. Its totient is φ = 35026344622080.

The previous prime is 132114997271371. The next prime is 132114997271417. The reversal of 132114997271376 is 673172799411231.

It is a happy number.

132114997271376 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 499 + 7 + 2 + 7 + 137 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114997271371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14448136 + ... + 21748071.

It is an arithmetic number, because the mean of its divisors is an integer number (1454218852608).

Almost surely, 2132114997271376 is an apocalyptic number.

132114997271376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132114997271376 is an abundant number, since it is smaller than the sum of its proper divisors (333235035563184).

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

132114997271376 is a wasteful number, since it uses less digits than its factorization.

132114997271376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36196319 (or 36196307 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 63.

The spelling of 132114997271376 in words is "one hundred thirty-two trillion, one hundred fourteen billion, nine hundred ninety-seven million, two hundred seventy-one thousand, three hundred seventy-six".