Search a number
-
+
132381551784 = 23329534438101
BaseRepresentation
bin111101101001010001…
…1100010110010101000
3110122200220020121111110
41323102203202302220
54132104134124114
6140452032030320
712364352424006
oct1732243426250
9418626217443
10132381551784
1151162a31249
12217a63923a0
13c639401481
14659b8c5a76
15369be93759
hex1ed28e2ca8

132381551784 has 128 divisors (see below), whose sum is σ = 349656393600. Its totient is φ = 41702169600.

The previous prime is 132381551779. The next prime is 132381551831. The reversal of 132381551784 is 487155183231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16337334 + ... + 16345434.

It is an arithmetic number, because the mean of its divisors is an integer number (2731690575).

Almost surely, 2132381551784 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 132381551784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174828196800).

132381551784 is an abundant number, since it is smaller than the sum of its proper divisors (217274841816).

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

132381551784 is a wasteful number, since it uses less digits than its factorization.

132381551784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8635 (or 8631 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The spelling of 132381551784 in words is "one hundred thirty-two billion, three hundred eighty-one million, five hundred fifty-one thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 29 53 58 87 106 116 159 174 212 232 318 348 424 443 636 696 886 1272 1329 1537 1772 2658 3074 3544 4611 5316 6148 8101 9222 10632 12296 12847 16202 18444 23479 24303 25694 32404 36888 38541 46958 48606 51388 64808 70437 77082 93916 97212 102776 140874 154164 187832 194424 234929 281748 308328 429353 469858 563496 680891 704787 858706 939716 1288059 1361782 1409574 1717412 1879432 2042673 2576118 2723564 2819148 3434824 3588743 4085346 5152236 5447128 5638296 7177486 8170692 10304472 10766229 12451237 14354972 16341384 21532458 24902474 28709944 37353711 43064916 49804948 74707422 86129832 99609896 104073547 149414844 190203379 208147094 298829688 312220641 380406758 416294188 570610137 624441282 760813516 832588376 1141220274 1248882564 1521627032 2282440548 2497765128 4564881096 5515897991 11031795982 16547693973 22063591964 33095387946 44127183928 66190775892 132381551784