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10831761640 = 235731097243
BaseRepresentation
bin10100001011001111…
…11001000011101000
31000221212212111121001
422011213321003220
5134140412333030
64550454124344
7532264312000
oct120547710350
930855774531
1010831761640
114659279927
1221236506b4
13103811111b
1474a7d9000
15435e0acca
hex2859f90e8

10831761640 has 128 divisors (see below), whose sum is σ = 28686240000. Its totient is φ = 3679167744.

The previous prime is 10831761631. The next prime is 10831761641. The reversal of 10831761640 is 4616713801.

It is a self number, because there is not a number n which added to its sum of digits gives 10831761640.

It is not an unprimeable number, because it can be changed into a prime (10831761641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1491859 + ... + 1499101.

It is an arithmetic number, because the mean of its divisors is an integer number (224111250).

Almost surely, 210831761640 is an apocalyptic number.

10831761640 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 10831761640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343120000).

10831761640 is an abundant number, since it is smaller than the sum of its proper divisors (17854478360).

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

10831761640 is a wasteful number, since it uses less digits than its factorization.

10831761640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7384 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 10831761640 in words is "ten billion, eight hundred thirty-one million, seven hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 109 140 196 218 245 280 343 392 436 490 545 686 763 872 980 1090 1372 1526 1715 1960 2180 2744 3052 3430 3815 4360 5341 6104 6860 7243 7630 10682 13720 14486 15260 21364 26705 28972 30520 36215 37387 42728 50701 53410 57944 72430 74774 101402 106820 144860 149548 186935 202804 213640 253505 289720 299096 354907 373870 405608 507010 709814 747740 789487 1014020 1419628 1495480 1578974 1774535 2028040 2484349 2839256 3157948 3549070 3947435 4968698 5526409 6315896 7098140 7894870 9937396 11052818 12421745 14196280 15789740 19874792 22105636 24843490 27632045 31579480 38684863 44211272 49686980 55264090 77369726 99373960 110528180 154739452 193424315 221056360 270794041 309478904 386848630 541588082 773697260 1083176164 1353970205 1547394520 2166352328 2707940410 5415880820 10831761640