Search a number
-
+
10932994332 = 22331313159443
BaseRepresentation
bin10100010111010100…
…00100000100011100
31001012221100122202000
422023222010010130
5134342321304312
65004512002300
7534633630021
oct121352040434
931187318660
1010932994332
114700432507
122151530390
131053096a20
1475a02b548
1543ec55adc
hex28ba8411c

10932994332 has 96 divisors (see below), whose sum is σ = 30758703360. Its totient is φ = 3338262720.

The previous prime is 10932994313. The next prime is 10932994361. The reversal of 10932994332 is 23349923901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154203 + ... + 213645.

It is an arithmetic number, because the mean of its divisors is an integer number (320403160).

Almost surely, 210932994332 is an apocalyptic number.

10932994332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10932994332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379351680).

10932994332 is an abundant number, since it is smaller than the sum of its proper divisors (19825709028).

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

10932994332 is a wasteful number, since it uses less digits than its factorization.

10932994332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59600 (or 59592 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 10932994332 in words is "ten billion, nine hundred thirty-two million, nine hundred ninety-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 131 156 234 262 351 393 468 524 702 786 1179 1404 1572 1703 2358 3406 3537 4716 5109 6812 7074 10218 14148 15327 20436 30654 45981 59443 61308 91962 118886 178329 183924 237772 356658 534987 713316 772759 1069974 1545518 1604961 2139948 2318277 3091036 3209922 4636554 6419844 6954831 7787033 9273108 13909662 15574066 20864493 23361099 27819324 31148132 41728986 46722198 70083297 83457972 93444396 101231429 140166594 202462858 210249891 280333188 303694287 404925716 420499782 607388574 840999564 911082861 1214777148 1822165722 2733248583 3644331444 5466497166 10932994332