Search a number
-
+
19971362748 = 22317313379371
BaseRepresentation
bin10010100110011000…
…101100111110111100
31220112211122100022210
4102212120230332330
5311400132101443
613101423340420
71304623532241
oct224630547674
956484570283
1019971362748
11851934a477
123a54451710
131b6378c00c
14d7658d5c8
157bd4b0c33
hex4a662cfbc

19971362748 has 96 divisors (see below), whose sum is σ = 51089246208. Its totient is φ = 6044774400.

The previous prime is 19971362711. The next prime is 19971362753. The reversal of 19971362748 is 84726317991.

It is a happy number.

It is a super-2 number, since 2×199713627482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2126503 + ... + 2135873.

It is an arithmetic number, because the mean of its divisors is an integer number (532179648).

Almost surely, 219971362748 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 19971362748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25544623104).

19971362748 is an abundant number, since it is smaller than the sum of its proper divisors (31117883460).

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

19971362748 is a wasteful number, since it uses less digits than its factorization.

19971362748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9763 (or 9761 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 57.

The spelling of 19971362748 in words is "nineteen billion, nine hundred seventy-one million, three hundred sixty-two thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 337 372 527 674 1011 1054 1348 1581 2022 2108 3162 4044 5729 6324 9371 10447 11458 17187 18742 20894 22916 28113 31341 34374 37484 41788 56226 62682 68748 112452 125364 159307 177599 290501 318614 355198 477921 532797 581002 637228 710396 871503 955842 1065594 1162004 1743006 1911684 2131188 3158027 3486012 4938517 6316054 9474081 9877034 12632108 14815551 18948162 19754068 29631102 37896324 53686459 59262204 97898837 107372918 161059377 195797674 214745836 293696511 322118754 391595348 587393022 644237508 1174786044 1664280229 3328560458 4992840687 6657120916 9985681374 19971362748