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105018722368 = 2672171969889
BaseRepresentation
bin110000111001110011…
…0101000100001000000
3101001001221020212001221
41201303212220201000
53210034243103433
6120124523404424
710405314261100
oct1416346504100
9331057225057
10105018722368
11405a137053a
121842a683714
139b984c5051
1451237d7200
152ae9b3d72d
hex18739a8840

105018722368 has 84 divisors (see below), whose sum is σ = 256680606780. Its totient is φ = 42360471552.

The previous prime is 105018722357. The next prime is 105018722381. The reversal of 105018722368 is 863227810501.

It can be written as a sum of positive squares in 2 ways, for example, as 62156473344 + 42862249024 = 249312^2 + 207032^2 .

It is a super-2 number, since 2×1050187223682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931633 + ... + 1038256.

Almost surely, 2105018722368 is an apocalyptic number.

It is an amenable number.

105018722368 is an abundant number, since it is smaller than the sum of its proper divisors (151661884412).

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

105018722368 is a wasteful number, since it uses less digits than its factorization.

105018722368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969932 (or 1969915 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 105018722368 in words is "one hundred five billion, eighteen million, seven hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 392 448 476 544 784 833 952 1088 1568 1666 1904 3136 3332 3808 6664 7616 13328 26656 53312 1969889 3939778 7879556 13789223 15759112 27578446 31518224 33488113 55156892 63036448 66976226 96524561 110313784 126072896 133952452 193049122 220627568 234416791 267904904 386098244 441255136 468833582 535809808 772196488 882510272 937667164 1071619616 1544392976 1640917537 1875334328 2143239232 3088785952 3281835074 3750668656 6177571904 6563670148 7501337312 13127340296 15002674624 26254680592 52509361184 105018722368