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132029153068176 = 243271329347430511
BaseRepresentation
bin11110000001010001101110…
…110001001100010010010000
3122022110212022200111110001200
4132001101232301030102100
5114301131201141140201
61144445204450231200
736544535331203430
oct3601215661142220
9568425280443050
10132029153068176
1139083281a06691
1212984174285500
1358893ac8a8a50
1424863607d22c0
15103e5abb57386
hex78146ec4c490

132029153068176 has 240 divisors, whose sum is σ = 470448707688960. Its totient is φ = 33620155591680.

The previous prime is 132029153068139. The next prime is 132029153068199. The reversal of 132029153068176 is 671860351920231.

It is a happy number.

132029153068176 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 91 + 530 + 6 + 8 + 17 + 6 = 666.

132029153068176 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173335240 + ... + 174095271.

It is an arithmetic number, because the mean of its divisors is an integer number (1960202948704).

Almost surely, 2132029153068176 is an apocalyptic number.

132029153068176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132029153068176 is an abundant number, since it is smaller than the sum of its proper divisors (338419554620784).

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

132029153068176 is a wasteful number, since it uses less digits than its factorization.

132029153068176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347430574 (or 347430565 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 132029153068176 in words is "one hundred thirty-two trillion, twenty-nine billion, one hundred fifty-three million, sixty-eight thousand, one hundred seventy-six".