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6734440642748 = 2271323267521999
BaseRepresentation
bin110000111111111101111…
…1100010011100010111100
3212211210202202011212200012
41201333323330103202330
51340314113301031443
622153432002522352
71263355500654650
oct141777374234274
925753682155605
106734440642748
1121670731a3765
1290921a6663b8
1339b093b85090
14193d3d1d6a60
15ba2a1930118
hex61ffbf138bc

6734440642748 has 144 divisors (see below), whose sum is σ = 15389361792000. Its totient is φ = 2510300909952.

The previous prime is 6734440642747. The next prime is 6734440642751. The reversal of 6734440642748 is 8472460444376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6734440642747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12640253 + ... + 13162251.

It is an arithmetic number, because the mean of its divisors is an integer number (106870568000).

Almost surely, 26734440642748 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 6734440642748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694680896000).

6734440642748 is an abundant number, since it is smaller than the sum of its proper divisors (8654921149252).

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

6734440642748 is a wasteful number, since it uses less digits than its factorization.

6734440642748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522136 (or 522111 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 59.

The spelling of 6734440642748 in words is "six trillion, seven hundred thirty-four billion, four hundred forty million, six hundred forty-two thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 67 91 92 134 161 182 268 299 322 364 469 529 598 644 871 938 1058 1196 1541 1742 1876 2093 2116 3082 3484 3703 4186 6097 6164 6877 7406 8372 10787 12194 13754 14812 20033 21574 24388 27508 35443 40066 43148 48139 70886 80132 96278 140231 141772 192556 248101 280462 460759 496202 521999 560924 921518 992404 1043998 1843036 2087996 3225313 3653993 6450626 6785987 7307986 12005977 12901252 13571974 14615972 24011954 27143948 34973933 47501909 48023908 69947866 84041839 95003818 139895732 156077701 168083678 190007636 244817531 276137471 312155402 336167356 454661129 489635062 552274942 624310804 804400459 909322258 979270124 1092543907 1104549884 1608800918 1818644516 1932962297 2185087814 3182627903 3217601836 3589787123 3865924594 4370175628 5630803213 6365255806 7179574246 7731849188 10457205967 11261606426 12730511612 14359148492 18501210557 20914411934 22523212852 25128509861 37002421114 41828823868 50257019722 73200441769 74004842228 100514039444 129508473899 146400883538 240515737241 259016947798 292801767076 481031474482 518033895596 962062948964 1683610160687 3367220321374 6734440642748