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10992401460 = 22365753937
BaseRepresentation
bin10100011110011001…
…01011110000110100
31001101002010212000000
422033030223300310
5140003023321320
65014433151300
7536254604445
oct121714536064
931332125000
1010992401460
114730a18a07
1221693bb530
131062496b81
14763c932cc
1544508cc90
hex28f32bc34

10992401460 has 84 divisors (see below), whose sum is σ = 34610277828. Its totient is φ = 2931303168.

The previous prime is 10992401419. The next prime is 10992401461. The reversal of 10992401460 is 6410429901.

It is a happy number.

10992401460 is a `hidden beast` number, since 109 + 92 + 4 + 0 + 1 + 460 = 666.

10992401460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6266938896 + 4725462564 = 79164^2 + 68742^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10992401461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 362389 + ... + 391548.

It is an arithmetic number, because the mean of its divisors is an integer number (412027117).

Almost surely, 210992401460 is an apocalyptic number.

10992401460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10992401460 is an abundant number, since it is smaller than the sum of its proper divisors (23617876368).

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

10992401460 is an equidigital number, since it uses as much as digits as its factorization.

10992401460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753964 (or 753947 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10992401460 in words is "ten billion, nine hundred ninety-two million, four hundred one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 753937 1507874 2261811 3015748 3769685 4523622 6785433 7539370 9047244 11309055 13570866 15078740 20356299 22618110 27141732 33927165 40712598 45236220 61068897 67854330 81425196 101781495 122137794 135708660 183206691 203562990 244275588 305344485 366413382 407125980 549620073 610688970 732826764 916033455 1099240146 1221377940 1832066910 2198480292 2748100365 3664133820 5496200730 10992401460