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106732713384 = 233211929145063
BaseRepresentation
bin110001101100111000…
…0111111010110101000
3101012111101102121201200
41203121300333112220
53222042033312014
6121010552244200
710465636044333
oct1433160772650
9335441377650
10106732713384
11412a091a340
12188286a0660
13a0ac62c90b
1452472c161a
152b9a357a09
hex18d9c3f5a8

106732713384 has 96 divisors (see below), whose sum is σ = 315688276800. Its totient is φ = 32308208640.

The previous prime is 106732713383. The next prime is 106732713403. The reversal of 106732713384 is 483317237601.

It is a super-2 number, since 2×1067327133842 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106732713383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663237 + ... + 808299.

It is an arithmetic number, because the mean of its divisors is an integer number (3288419550).

Almost surely, 2106732713384 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 106732713384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157844138400).

106732713384 is an abundant number, since it is smaller than the sum of its proper divisors (208955563416).

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

106732713384 is a wasteful number, since it uses less digits than its factorization.

106732713384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146015 (or 146008 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 106732713384 in words is "one hundred six billion, seven hundred thirty-two million, seven hundred thirteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 929 1858 2787 3716 5574 7432 8361 10219 11148 16722 20438 22296 30657 33444 40876 61314 66888 81752 91971 122628 145063 183942 245256 290126 367884 435189 580252 735768 870378 1160504 1305567 1595693 1740756 2611134 3191386 3481512 4787079 5222268 6382772 9574158 10444536 12765544 14361237 19148316 28722474 38296632 57444948 114889896 134763527 269527054 404290581 539054108 808581162 1078108216 1212871743 1482398797 1617162324 2425743486 2964797594 3234324648 4447196391 4851486972 5929595188 8894392782 9702973944 11859190376 13341589173 17788785564 26683178346 35577571128 53366356692 106732713384