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10643844764 = 2271959333739
BaseRepresentation
bin10011110100110110…
…00010111010011100
31000110210021100002202
421322123002322130
5133244311013024
64520102311032
7524523121250
oct117233027234
930423240082
1010643844764
11457219a123
122090728478
1310081c78c7
1472d880260
1542468bbae
hex27a6c2e9c

10643844764 has 48 divisors (see below), whose sum is σ = 22446547200. Its totient is φ = 4314145536.

The previous prime is 10643844763. The next prime is 10643844769. The reversal of 10643844764 is 46744834601.

It is a super-2 number, since 2×106438447642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10643844763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298607 + ... + 332345.

It is an arithmetic number, because the mean of its divisors is an integer number (467636400).

Almost surely, 210643844764 is an apocalyptic number.

10643844764 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 10643844764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223273600).

10643844764 is an abundant number, since it is smaller than the sum of its proper divisors (11802702436).

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

10643844764 is a wasteful number, since it uses less digits than its factorization.

10643844764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34362 (or 34360 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 10643844764 in words is "ten billion, six hundred forty-three million, eight hundred forty-four thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 593 1186 2372 4151 8302 11267 16604 22534 33739 45068 67478 78869 134956 157738 236173 315476 472346 641041 944692 1282082 2564164 4487287 8974574 17949148 20007227 40014454 80028908 140050589 280101178 380137313 560202356 760274626 1520549252 2660961191 5321922382 10643844764