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6740116944 = 2431179349463
BaseRepresentation
bin1100100011011111…
…00000010111010000
3122101201201102020220
412101233200113100
5102300432220234
63032452033040
7326012022501
oct62157402720
918351642226
106740116944
112949690690
121381302780
13835512ca2
1447d22aba8
15296ad1a49
hex191be05d0

6740116944 has 160 divisors (see below), whose sum is σ = 19332096000. Its totient is φ = 2006484480.

The previous prime is 6740116927. The next prime is 6740116963. The reversal of 6740116944 is 4496110476.

It is a junction number, because it is equal to n+sod(n) for n = 6740116896 and 6740116905.

It is a congruent number.

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, 14557257 + ... + 14557719.

It is an arithmetic number, because the mean of its divisors is an integer number (120825600).

Almost surely, 26740116944 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 6740116944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9666048000).

6740116944 is an abundant number, since it is smaller than the sum of its proper divisors (12591979056).

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

6740116944 is a wasteful number, since it uses less digits than its factorization.

6740116944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 6740116944 is about 82098.2152302960. The cubic root of 6740116944 is about 1888.9587635533.

The spelling of 6740116944 in words is "six billion, seven hundred forty million, one hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 349 463 474 528 632 698 869 926 948 1047 1264 1389 1396 1738 1852 1896 2094 2607 2778 2792 3476 3704 3792 3839 4188 5093 5214 5556 5584 6952 7408 7678 8376 10186 10428 11112 11517 13904 15279 15356 16752 20372 20856 22224 23034 27571 30558 30712 36577 40744 41712 46068 55142 61116 61424 73154 81488 82713 92136 109731 110284 122232 146308 161587 165426 184272 219462 220568 244464 292616 303281 323174 330852 402347 438924 441136 484761 585232 606562 646348 661704 804694 877848 909843 969522 1207041 1213124 1292696 1323408 1609388 1755696 1777457 1819686 1939044 2414082 2426248 2585392 3218776 3554914 3639372 3878088 4828164 4852496 5332371 6437552 7109828 7278744 7756176 9656328 10664742 12765373 14219656 14557488 19312656 21329484 25530746 28439312 38296119 42658968 51061492 76592238 85317936 102122984 140419103 153184476 204245968 280838206 306368952 421257309 561676412 612737904 842514618 1123352824 1685029236 2246705648 3370058472 6740116944