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17949981931924 = 2272416150971941
BaseRepresentation
bin1000001010011010011100…
…10010111111100110010100
32100120000001002210112022211
410011031032102333212110
54323043030333310144
6102102035144203204
73531562166656300
oct405151622774624
970500032715284
1017949981931924
1157a05a9933409
12201a9b0769504
13a028a33249a3
14460ad88d6d00
15211dc0b45034
hex10534e4bf994

17949981931924 has 144 divisors (see below), whose sum is σ = 38121199618320. Its totient is φ = 7367576832000.

The previous prime is 17949981931867. The next prime is 17949981931939. The reversal of 17949981931924 is 42913918994971.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5685277521924 + 12264704410000 = 2384382^2 + 3502100^2 .

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, 249473794 + ... + 249545734.

It is an arithmetic number, because the mean of its divisors is an integer number (264730552905).

Almost surely, 217949981931924 is an apocalyptic number.

17949981931924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17949981931924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19060599809160).

17949981931924 is an abundant number, since it is smaller than the sum of its proper divisors (20171217686396).

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

17949981931924 is a wasteful number, since it uses less digits than its factorization.

17949981931924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72570 (or 72561 counting only the distinct ones).

The product of its digits is 317447424, while the sum is 76.

The spelling of 17949981931924 in words is "seventeen trillion, nine hundred forty-nine billion, nine hundred eighty-one million, nine hundred thirty-one thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 41 49 61 82 98 122 164 196 244 287 427 509 574 854 1018 1148 1708 2009 2036 2501 2989 3563 4018 5002 5978 7126 8036 10004 11956 14252 17507 20869 24941 31049 35014 41738 49882 62098 70028 71941 83476 99764 122549 124196 143882 146083 217343 245098 287764 292166 434686 490196 503587 584332 869372 1007174 1022581 1273009 1521401 2014348 2045162 2546018 2949581 3042802 3525109 4090324 4388401 5092036 5899162 6085604 7050218 8776802 8911063 11798324 14100436 17553604 17822126 20647067 30718807 35644252 36617969 41294134 61437614 62377441 73235938 82588268 122875228 124754882 144529469 146471876 179924441 215031649 249509764 256325783 289058938 359848882 430063298 512651566 578117876 719697764 860126596 1025303132 1259471087 1501336729 1794280481 2233696109 2518942174 3002673458 3588560962 4467392218 5037884348 6005346916 7177121924 8816297609 8934784436 10509357103 15635872763 17632595218 21018714206 31271745526 35265190436 42037428412 62543491052 73565499721 91581540469 109451109341 147130999442 183163080938 218902218682 294261998884 366326161876 437804437364 641070783283 1282141566566 2564283133132 4487495482981 8974990965962 17949981931924