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10364804232 = 2335359167827
BaseRepresentation
bin10011010011100101…
…00101110010001000
3222202100012121110020
421221302211302020
5132211342213412
64432253420440
7514564245066
oct115162456210
928670177406
1010364804232
114439730912
12201319a720
13c92457b73
147047a5036
15409e1d18c
hex269ca5c88

10364804232 has 128 divisors (see below), whose sum is σ = 27041817600. Its totient is φ = 3308334848.

The previous prime is 10364804231. The next prime is 10364804251. The reversal of 10364804232 is 23240846301.

It is a junction number, because it is equal to n+sod(n) for n = 10364804193 and 10364804202.

It is not an unprimeable number, because it can be changed into a prime (10364804231) 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, 12532603 + ... + 12533429.

It is an arithmetic number, because the mean of its divisors is an integer number (211264200).

Almost surely, 210364804232 is an apocalyptic number.

10364804232 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 10364804232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13520908800).

10364804232 is an abundant number, since it is smaller than the sum of its proper divisors (16677013368).

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

10364804232 is a wasteful number, since it uses less digits than its factorization.

10364804232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 10364804232 in words is "ten billion, three hundred sixty-four million, eight hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 59 106 118 159 167 177 212 236 318 334 354 424 472 501 636 668 708 827 1002 1272 1336 1416 1654 2004 2481 3127 3308 4008 4962 6254 6616 8851 9381 9853 9924 12508 17702 18762 19706 19848 25016 26553 29559 35404 37524 39412 43831 48793 53106 59118 70808 75048 78824 87662 97586 106212 118236 131493 138109 146379 175324 195172 212424 236472 262986 276218 292758 350648 390344 414327 522209 525972 552436 585516 828654 1044418 1051944 1104872 1171032 1566627 1657308 2088836 2586029 3133254 3314616 4177672 5172058 6266508 7319777 7758087 8148431 10344116 12533016 14639554 15516174 16296862 20688232 21959331 24445293 29279108 31032348 32593724 43918662 48890586 58558216 62064696 65187448 87837324 97781172 175674648 195562344 431866843 863733686 1295600529 1727467372 2591201058 3454934744 5182402116 10364804232