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10942130176 = 21137197733
BaseRepresentation
bin10100011000011001…
…11010100000000000
31001020120112210202121
422030030322200000
5134402141131201
65005435454024
7535104400105
oct121414724000
931216483677
1010942130176
11470560239a
1221545b7314
131054c45153
1475b328aac
1544095c9a1
hex28c33a800

10942130176 has 96 divisors (see below), whose sum is σ = 22615112520. Its totient is φ = 5288951808.

The previous prime is 10942130137. The next prime is 10942130197. The reversal of 10942130176 is 67103124901.

It can be written as a sum of positive squares in 4 ways, for example, as 8653464576 + 2288665600 = 93024^2 + 47840^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14927506 + ... + 14928238.

Almost surely, 210942130176 is an apocalyptic number.

10942130176 is a gapful number since it is divisible by the number (16) 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 10942130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307556260).

10942130176 is an abundant number, since it is smaller than the sum of its proper divisors (11672982344).

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

10942130176 is an equidigital number, since it uses as much as digits as its factorization.

10942130176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 10942130176 in words is "ten billion, nine hundred forty-two million, one hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 197 256 296 394 512 592 733 788 1024 1184 1466 1576 2048 2368 2932 3152 4736 5864 6304 7289 9472 11728 12608 14578 18944 23456 25216 27121 29156 37888 46912 50432 54242 58312 75776 93824 100864 108484 116624 144401 187648 201728 216968 233248 288802 375296 403456 433936 466496 577604 750592 867872 932992 1155208 1501184 1735744 1865984 2310416 3471488 3731968 4620832 5342837 6942976 7463936 9241664 10685674 13885952 14927872 18483328 21371348 27771904 36966656 42742696 55543808 73933312 85485392 147866624 170970784 295733248 341941568 683883136 1367766272 2735532544 5471065088 10942130176