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41994766311700 = 22523783349391823
BaseRepresentation
bin10011000110001101010110…
…01000001110000100010100
312111200122211110122221122011
421203012223020032010110
521001020240133433300
6225152043533114004
711563010312660236
oct1143065310160424
9174618743587564
1041994766311700
1112420975866424
124862a4a328904
131a5812174c247
14a527b3c36256
154cc5a84d1eba
hex2631ab20e114

41994766311700 has 144 divisors (see below), whose sum is σ = 94990832697600. Its totient is φ = 16100686932480.

The previous prime is 41994766311691. The next prime is 41994766311739. The reversal of 41994766311700 is 711366749914.

It is a happy number.

41994766311700 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106981989 + ... + 107373811.

It is an arithmetic number, because the mean of its divisors is an integer number (659658560400).

Almost surely, 241994766311700 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 41994766311700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47495416348800).

41994766311700 is an abundant number, since it is smaller than the sum of its proper divisors (52996066385900).

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

41994766311700 is a wasteful number, since it uses less digits than its factorization.

41994766311700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392306 (or 392299 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 58.

The spelling of 41994766311700 in words is "forty-one trillion, nine hundred ninety-four billion, seven hundred sixty-six million, three hundred eleven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 83 100 148 166 185 332 349 370 415 698 740 830 925 1396 1660 1745 1850 2075 3071 3490 3700 4150 6142 6980 8300 8725 12284 12913 15355 17450 25826 28967 30710 34900 51652 57934 61420 64565 76775 115868 129130 144835 153550 258260 289670 307100 322825 391823 579340 645650 724175 783646 1071779 1291300 1448350 1567292 1959115 2143558 2896700 3918230 4287116 5358895 7836460 9795575 10717790 14497451 19591150 21435580 26794475 28994902 32521309 39182300 53588950 57989804 65042618 72487255 107177900 130085236 136746227 144974510 162606545 273492454 289949020 325213090 362436275 546984908 650426180 683731135 724872550 813032725 1203288433 1367462270 1449745100 1626065450 2406576866 2734924540 3252130900 3418655675 4813153732 5059610399 6016442165 6837311350 10119220798 11349936841 12032884330 13674622700 20238441596 22699873682 24065768660 25298051995 30082210825 45399747364 50596103990 56749684205 60164421650 101192207980 113499368410 120328843300 126490259975 226998736820 252980519950 283748421025 419947663117 505961039900 567496842050 839895326234 1134993684100 1679790652468 2099738315585 4199476631170 8398953262340 10498691577925 20997383155850 41994766311700