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10645365042 = 23213197230929
BaseRepresentation
bin10011110101000001…
…10110000100110010
31000110220010120112100
421322200312010302
5133300203140132
64520155041230
7524542052454
oct117240660462
930426116470
1010645365042
114573038354
122091140216
13100860a890
1472db582d4
1542488c37c
hex27a836132

10645365042 has 48 divisors (see below), whose sum is σ = 24965380440. Its totient is φ = 3258855936.

The previous prime is 10645365019. The next prime is 10645365089. The reversal of 10645365042 is 24056354601.

10645365042 is a `hidden beast` number, since 1 + 0 + 645 + 3 + 6 + 5 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10580385321 + 64979721 = 102861^2 + 8061^2 .

It is a super-2 number, since 2×106453650422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10645364988 and 10645365006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69367 + ... + 161562.

Almost surely, 210645365042 is an apocalyptic number.

10645365042 is an abundant number, since it is smaller than the sum of its proper divisors (14320015398).

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

10645365042 is a wasteful number, since it uses less digits than its factorization.

10645365042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231147 (or 231144 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10645365042 in words is "ten billion, six hundred forty-five million, three hundred sixty-five thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 197 234 394 591 1182 1773 2561 3546 5122 7683 15366 23049 46098 230929 461858 692787 1385574 2078361 3002077 4156722 6004154 9006231 18012462 27018693 45493013 54037386 90986026 136479039 272958078 409437117 591409169 818874234 1182818338 1774227507 3548455014 5322682521 10645365042