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10574367090 = 2357252113807
BaseRepresentation
bin10011101100100100…
…00000100101110010
31000021221112111122120
421312102000211302
5133124014221330
64505141215110
7523020431400
oct116622004562
930257474576
1010574367090
114536a55561
122071401496
13cc69aca61
14724556470
1541d515c10
hex276480972

10574367090 has 96 divisors (see below), whose sum is σ = 29580712704. Its totient is φ = 2412184320.

The previous prime is 10574367049. The next prime is 10574367109. The reversal of 10574367090 is 9076347501.

It is a super-2 number, since 2×105743670902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon 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, 758967 + ... + 772773.

It is an arithmetic number, because the mean of its divisors is an integer number (308132424).

Almost surely, 210574367090 is an apocalyptic number.

10574367090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10574367090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14790356352).

10574367090 is an abundant number, since it is smaller than the sum of its proper divisors (19006345614).

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

10574367090 is a wasteful number, since it uses less digits than its factorization.

10574367090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14352 (or 14345 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 10574367090 in words is "ten billion, five hundred seventy-four million, three hundred sixty-seven thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 521 735 1042 1470 1563 2605 3126 3647 5210 7294 7815 10941 13807 15630 18235 21882 25529 27614 36470 41421 51058 54705 69035 76587 82842 96649 109410 127645 138070 153174 193298 207105 255290 289947 382935 414210 483245 579894 676543 765870 966490 1353086 1449735 2029629 2899470 3382715 4059258 6765430 7193447 10148145 14386894 20296290 21580341 35967235 43160682 50354129 71934470 100708258 107901705 151062387 215803410 251770645 302124774 352478903 503541290 704957806 755311935 1057436709 1510623870 1762394515 2114873418 3524789030 5287183545 10574367090