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10494516160 = 265174913929
BaseRepresentation
bin10011100011000010…
…11001101111000000
31000002101021122202201
421301201121233000
5132443044004120
64453205522544
7521030626012
oct116141315700
930071248681
1010494516160
1144a5976357
12204a713454
13cb32a249b
14717acc1b2
154164e140a
hex271859bc0

10494516160 has 112 divisors (see below), whose sum is σ = 26520708960. Its totient is φ = 3941826560.

The previous prime is 10494516133. The next prime is 10494516161. The reversal of 10494516160 is 6161549401.

It is a super-2 number, since 2×104945161602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10494516161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2669076 + ... + 2673004.

Almost surely, 210494516160 is an apocalyptic number.

10494516160 is a gapful number since it is divisible by the number (10) 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 10494516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260354480).

10494516160 is an abundant number, since it is smaller than the sum of its proper divisors (16026192800).

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

10494516160 is a wasteful number, since it uses less digits than its factorization.

10494516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 10494516160 in words is "ten billion, four hundred ninety-four million, five hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 491 544 680 982 1088 1360 1964 2455 2720 3928 3929 4910 5440 7856 7858 8347 9820 15712 15716 16694 19640 19645 31424 31432 33388 39280 39290 41735 62864 66776 66793 78560 78580 83470 125728 133552 133586 157120 157160 166940 251456 267104 267172 314320 333880 333965 534208 534344 628640 667760 667930 1068688 1257280 1335520 1335860 1929139 2137376 2671040 2671720 3858278 4274752 5343440 7716556 9645695 10686880 15433112 19291390 21373760 30866224 32795363 38582780 61732448 65590726 77165560 123464896 131181452 154331120 163976815 262362904 308662240 327953630 524725808 617324480 655907260 1049451616 1311814520 2098903232 2623629040 5247258080 10494516160