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132017373728064 = 26321143835838071
BaseRepresentation
bin11110000001000110110000…
…101010100100110101000000
3122022102201220202120222011200
4132001012300222210311000
5114300433040133244224
61144435535542141200
736543640406362116
oct3601066052446500
9568381822528150
10132017373728064
1139079287869060
1212981a27421800
135888253383106
142485964213ab6
15103e11c9725c9
hex7811b0aa4d40

132017373728064 has 336 divisors, whose sum is σ = 427493709586944. Its totient is φ = 38604121113600.

The previous prime is 132017373728063. The next prime is 132017373728111. The reversal of 132017373728064 is 460827373710231.

132017373728064 is a `hidden beast` number, since 1 + 3 + 20 + 173 + 7 + 372 + 80 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132017373728064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132017373728063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19694149 + ... + 25532219.

It is an arithmetic number, because the mean of its divisors is an integer number (1272302707104).

Almost surely, 2132017373728064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132017373728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213746854793472).

132017373728064 is an abundant number, since it is smaller than the sum of its proper divisors (295476335858880).

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

132017373728064 is a wasteful number, since it uses less digits than its factorization.

132017373728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838226 (or 5838213 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 132017373728064 in words is "one hundred thirty-two trillion, seventeen billion, three hundred seventy-three million, seven hundred twenty-eight thousand, sixty-four".