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132733374620 = 2257211103173691
BaseRepresentation
bin111101110011110000…
…1101001000010011100
3110200121102021001200212
41323213201221002130
54133314220441440
6140551000511552
712406154032400
oct1734741510234
9420542231625
10132733374620
1151323590a20
122188417b5b8
13c694275272
1465d2509100
1536bccdc465
hex1ee786909c

132733374620 has 288 divisors, whose sum is σ = 359744426496. Its totient is φ = 40674009600.

The previous prime is 132733374619. The next prime is 132733374623. The reversal of 132733374620 is 26473337231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132733374623) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 192088475 + ... + 192089165.

It is an arithmetic number, because the mean of its divisors is an integer number (1249112592).

Almost surely, 2132733374620 is an apocalyptic number.

132733374620 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 132733374620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179872213248).

132733374620 is an abundant number, since it is smaller than the sum of its proper divisors (227011051876).

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

132733374620 is a wasteful number, since it uses less digits than its factorization.

132733374620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 41.

The spelling of 132733374620 in words is "one hundred thirty-two billion, seven hundred thirty-three million, three hundred seventy-four thousand, six hundred twenty".