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132694916640 = 253511132338297
BaseRepresentation
bin111101110010100111…
…0111011111000100000
3110200111201220012021020
41323211032323320200
54133224344313030
6140543104325440
712405206116116
oct1734516737040
9420451805236
10132694916640
1151303903970
1221873313880
13c6892cb570
1465cb377ab6
1536b9742510
hex1ee53bbe20

132694916640 has 384 divisors, whose sum is σ = 493230995712. Its totient is φ = 29562961920.

The previous prime is 132694916617. The next prime is 132694916699. The reversal of 132694916640 is 46619496231.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15988972 + ... + 15997268.

It is an arithmetic number, because the mean of its divisors is an integer number (1284455718).

Almost surely, 2132694916640 is an apocalyptic number.

132694916640 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 132694916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246615497856).

132694916640 is an abundant number, since it is smaller than the sum of its proper divisors (360536079072).

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

132694916640 is a wasteful number, since it uses less digits than its factorization.

132694916640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 132694916640 in words is "one hundred thirty-two billion, six hundred ninety-four million, nine hundred sixteen thousand, six hundred forty".