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10464033324 = 223171914991801
BaseRepresentation
bin10011011111011010…
…00111101000101100
31000000020220222011210
421233231013220230
5132412243031244
64450200314420
7520210546533
oct115755075054
930006828153
1010464033324
11448a746128
122040472a10
13ca9b8b7c4
14713a3531a
154139be4b9
hex26fb47a2c

10464033324 has 96 divisors (see below), whose sum is σ = 27246240000. Its totient is φ = 3106252800.

The previous prime is 10464033317. The next prime is 10464033347. The reversal of 10464033324 is 42333046401.

It is a junction number, because it is equal to n+sod(n) for n = 10464033291 and 10464033300.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5809224 + ... + 5811024.

It is an arithmetic number, because the mean of its divisors is an integer number (283815000).

Almost surely, 210464033324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10464033324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623120000).

10464033324 is an abundant number, since it is smaller than the sum of its proper divisors (16782206676).

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

10464033324 is a wasteful number, since it uses less digits than its factorization.

10464033324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 10464033324 its reverse (42333046401), we get a palindrome (52797079725).

The spelling of 10464033324 in words is "ten billion, four hundred sixty-four million, thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1499 1801 1938 2998 3602 3876 4497 5403 5996 7204 8994 10806 17988 21612 25483 28481 30617 34219 50966 56962 61234 68438 76449 85443 91851 101932 102657 113924 122468 136876 152898 170886 183702 205314 305796 341772 367404 410628 484177 581723 968354 1163446 1452531 1745169 1936708 2326892 2699699 2905062 3490338 5399398 5810124 6980676 8099097 10798796 16198194 32396388 45894883 51294281 91789766 102588562 137684649 153882843 183579532 205177124 275369298 307765686 550738596 615531372 872002777 1744005554 2616008331 3488011108 5232016662 10464033324