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10032444044 = 22746771543
BaseRepresentation
bin10010101011111101…
…01111001010001100
3221220011210221222122
421111332233022030
5131021301202134
64335302032112
7503420240000
oct112576571214
927804727878
1010032444044
114289064777
121b3ba18638
13c3b639a2c
146b25aa700
153dab6b02e
hex255faf28c

10032444044 has 60 divisors (see below), whose sum is σ = 20525235024. Its totient is φ = 4290485472.

The previous prime is 10032444043. The next prime is 10032444089. The reversal of 10032444044 is 44044423001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10032444043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6501137 + ... + 6502679.

Almost surely, 210032444044 is an apocalyptic number.

10032444044 is a gapful number since it is divisible by the number (14) 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 10032444044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262617512).

10032444044 is an abundant number, since it is smaller than the sum of its proper divisors (10492790980).

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

10032444044 is an equidigital number, since it uses as much as digits as its factorization.

10032444044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 10032444044 its reverse (44044423001), we get a palindrome (54076867045).

The spelling of 10032444044 in words is "ten billion, thirty-two million, four hundred forty-four thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 677 686 1354 1372 1543 2401 2708 3086 4739 4802 6172 9478 9604 10801 18956 21602 33173 43204 66346 75607 132692 151214 232211 302428 464422 529249 928844 1044611 1058498 1625477 2089222 2116996 3250954 3704743 4178444 6501908 7312277 7409486 14624554 14818972 29249108 51185939 102371878 204743756 358301573 716603146 1433206292 2508111011 5016222022 10032444044