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138195729492 = 223373076471567
BaseRepresentation
bin1000000010110100011…
…0110111110001010100
3111012201002122102220120
42000231012313301110
54231011101320432
6143253010031540
712661422214302
oct2005506676124
9435632572816
10138195729492
1153676982a97
12229495785b0
1310054b38202
14698db63272
1538dc622c2c
hex202d1b7c54

138195729492 has 96 divisors (see below), whose sum is σ = 332976365568. Its totient is φ = 44576728704.

The previous prime is 138195729491. The next prime is 138195729521. The reversal of 138195729492 is 294927591831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138195729491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88190493 + ... + 88192059.

It is an arithmetic number, because the mean of its divisors is an integer number (3468503808).

Almost surely, 2138195729492 is an apocalyptic number.

138195729492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138195729492 is an abundant number, since it is smaller than the sum of its proper divisors (194780636076).

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

138195729492 is a wasteful number, since it uses less digits than its factorization.

138195729492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2563 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 60.

The spelling of 138195729492 in words is "one hundred thirty-eight billion, one hundred ninety-five million, seven hundred twenty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 307 444 614 647 921 1228 1294 1567 1842 1941 2588 3134 3684 3882 4701 6268 7764 9402 11359 18804 22718 23939 34077 45436 47878 57979 68154 71817 95756 115958 136308 143634 173937 198629 231916 287268 347874 397258 481069 595887 695748 794516 962138 1013849 1191774 1443207 1924276 2027698 2383548 2886414 3041547 4055396 5772828 6083094 7349273 12166188 14698546 17799553 22047819 29397092 35599106 37512413 44095638 53398659 71198212 75024826 88191276 106797318 112537239 150049652 213594636 225074478 311251643 450148956 622503286 933754929 1245006572 1867509858 3735019716 11516310791 23032621582 34548932373 46065243164 69097864746 138195729492