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10132909969 = 7213192389409
BaseRepresentation
bin10010110111111011…
…11110111110010001
3222011011212011022211
421123331332332101
5131223011104334
64353251232121
7506050212400
oct113375767621
928134764284
1010132909969
11432a844266
121b695a8641
13c563b4620
146c1a7d637
153e48b3a64
hex25bf7ef91

10132909969 has 96 divisors (see below), whose sum is σ = 14134176000. Its totient is φ = 7165863936.

The previous prime is 10132909961. The next prime is 10132909991. The reversal of 10132909969 is 96990923101.

It is not a de Polignac number, because 10132909969 - 23 = 10132909961 is a prime.

It is a super-2 number, since 2×101329099692 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10132909961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24774637 + ... + 24775045.

It is an arithmetic number, because the mean of its divisors is an integer number (147231000).

Almost surely, 210132909969 is an apocalyptic number.

10132909969 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10132909969 is a deficient number, since it is larger than the sum of its proper divisors (4001266031).

10132909969 is a wasteful number, since it uses less digits than its factorization.

10132909969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 49.

The spelling of 10132909969 in words is "ten billion, one hundred thirty-two million, nine hundred nine thousand, nine hundred sixty-nine".

Divisors: 1 7 13 19 23 49 89 91 133 161 247 299 409 437 623 637 931 1127 1157 1691 1729 2047 2093 2863 3059 4361 5317 5681 7771 8099 9407 11837 12103 14329 14651 20041 21413 21983 26611 36401 37219 38893 39767 54397 56693 65849 82859 100303 101023 122291 153881 178733 186277 254807 260533 272251 278369 380779 460943 473213 505609 691619 707161 837223 856037 1077167 1251131 1303939 1783649 1905757 2323529 3312491 3539263 4841333 4950127 5860561 5992259 8757917 8991047 10883899 15907237 16264703 23187437 24774841 33889331 41023927 62937329 76187293 111350659 113852921 206794081 440561303 533311051 779454613 1447558567 10132909969