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10646440332 = 22311179295107
BaseRepresentation
bin10011110101001001…
…11100100110001100
31000110222011012112220
421322210330212030
5133300442042312
64520234055340
7524554151433
oct117244744614
930428135486
1010646440332
114573702220
12209157a550
1310088c6148
1472dd5811a
15424a00c8c
hex27a93c98c

10646440332 has 96 divisors (see below), whose sum is σ = 28730661120. Its totient is φ = 3032555520.

The previous prime is 10646440327. The next prime is 10646440351. The reversal of 10646440332 is 23304464601.

10646440332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106464403322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10646440293 and 10646440302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2082123 + ... + 2087229.

It is an arithmetic number, because the mean of its divisors is an integer number (299277720).

Almost surely, 210646440332 is an apocalyptic number.

10646440332 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 10646440332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14365330560).

10646440332 is an abundant number, since it is smaller than the sum of its proper divisors (18084220788).

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

10646440332 is a wasteful number, since it uses less digits than its factorization.

10646440332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6071 (or 6069 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 10646440332 in words is "ten billion, six hundred forty-six million, four hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 929 1122 1858 2244 2787 3716 5107 5574 10214 10219 11148 15321 15793 20428 20438 30642 30657 31586 40876 47379 56177 61284 61314 63172 86819 94758 112354 122628 168531 173638 173723 189516 224708 260457 337062 347276 347446 520914 521169 674124 694892 955009 1041828 1042338 1910018 2084676 2865027 3820036 4744403 5730054 9488806 11460108 14233209 18977612 28466418 52188433 56932836 80654851 104376866 156565299 161309702 208753732 241964553 313130598 322619404 483929106 626261196 887203361 967858212 1774406722 2661610083 3548813444 5323220166 10646440332