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132931019740 = 22519709493397
BaseRepresentation
bin111101111001101001…
…1100110001111011100
3110201010012011110211111
41323303103212033130
54134220320112430
6141022341031404
712414104011261
oct1736323461734
9421105143744
10132931019740
11514151056a2
122191a3b5564
13c6c61b673c
146610877268
1536d032dc2a
hex1ef34e63dc

132931019740 has 48 divisors (see below), whose sum is σ = 294262567200. Its totient is φ = 50302708992.

The previous prime is 132931019723. The next prime is 132931019773. The reversal of 132931019740 is 47910139231.

It is a junction number, because it is equal to n+sod(n) for n = 132931019693 and 132931019702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22722 + ... + 516118.

It is an arithmetic number, because the mean of its divisors is an integer number (6130470150).

Almost surely, 2132931019740 is an apocalyptic number.

132931019740 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 132931019740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147131283600).

132931019740 is an abundant number, since it is smaller than the sum of its proper divisors (161331547460).

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

132931019740 is a wasteful number, since it uses less digits than its factorization.

132931019740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494134 (or 494132 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The spelling of 132931019740 in words is "one hundred thirty-two billion, nine hundred thirty-one million, nineteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 709 1418 2836 3545 7090 13471 14180 26942 53884 67355 134710 269420 493397 986794 1973588 2466985 4933970 9374543 9867940 18749086 37498172 46872715 93745430 187490860 349818473 699636946 1399273892 1749092365 3498184730 6646550987 6996369460 13293101974 26586203948 33232754935 66465509870 132931019740