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10324411344 = 2432135515177
BaseRepresentation
bin10011001110110001…
…00000001111010000
3222122112012102211100
421213120200033100
5132121022130334
64424251544400
7513564022422
oct114730401720
928575172740
1010324411344
114418952065
12200175b100
13c86c84550
146dd28c812
154065dec99
hex2676203d0

10324411344 has 60 divisors (see below), whose sum is σ = 31116634276. Its totient is φ = 3176741376.

The previous prime is 10324411343. The next prime is 10324411403. The reversal of 10324411344 is 44311442301.

It can be written as a sum of positive squares in 2 ways, for example, as 5481921600 + 4842489744 = 74040^2 + 69588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10324411343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2755717 + ... + 2759460.

Almost surely, 210324411344 is an apocalyptic number.

It is an amenable number.

10324411344 is an abundant number, since it is smaller than the sum of its proper divisors (20792222932).

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

10324411344 is a wasteful number, since it uses less digits than its factorization.

10324411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515204 (or 5515195 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10324411344 its reverse (44311442301), we get a palindrome (54635853645).

The spelling of 10324411344 in words is "ten billion, three hundred twenty-four million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 5515177 11030354 16545531 22060708 33091062 44121416 49636593 66182124 71697301 88242832 99273186 132364248 143394602 198546372 215091903 264728496 286789204 397092744 430183806 573578408 645275709 794185488 860367612 1147156816 1290551418 1720735224 2581102836 3441470448 5162205672 10324411344