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10844021232 = 24331123472111
BaseRepresentation
bin10100001100101101…
…01010000111110000
31000222201221100121000
422012112222013300
5134202032134412
64552013002000
7532503442152
oct120626520760
930881840530
1010844021232
114665192720
122127783300
13103a814315
1474c2aaad2
1543702d4dc
hex2865aa1f0

10844021232 has 320 divisors, whose sum is σ = 36203397120. Its totient is φ = 3074860800.

The previous prime is 10844021159. The next prime is 10844021249. The reversal of 10844021232 is 23212044801.

10844021232 is a `hidden beast` number, since 1 + 0 + 8 + 440 + 212 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10844021196 and 10844021205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5135857 + ... + 5137967.

It is an arithmetic number, because the mean of its divisors is an integer number (113135616).

Almost surely, 210844021232 is an apocalyptic number.

10844021232 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 10844021232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18101698560).

10844021232 is an abundant number, since it is smaller than the sum of its proper divisors (25359375888).

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

10844021232 is a wasteful number, since it uses less digits than its factorization.

10844021232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 10844021232 in words is "ten billion, eight hundred forty-four million, twenty-one thousand, two hundred thirty-two".