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10824961945 = 575327721067
BaseRepresentation
bin10100001010011011…
…11100111110011001
31000221102002001011111
422011031330332121
5134132142240240
64550052300321
7532152441550
oct120515747631
930842061144
1010824961945
114655455146
1221213116a1
1310368a0135
14749948d97
154355161ea
hex28537cf99

10824961945 has 32 divisors (see below), whose sum is σ = 15181095168. Its totient is φ = 7256141568.

The previous prime is 10824961919. The next prime is 10824961949. The reversal of 10824961945 is 54916942801.

It is a cyclic number.

It is not a de Polignac number, because 10824961945 - 231 = 8677478297 is a prime.

It is a super-2 number, since 2×108249619452 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10824961949) 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 31 ways as a sum of consecutive naturals, for example, 503302 + ... + 524368.

It is an arithmetic number, because the mean of its divisors is an integer number (474409224).

Almost surely, 210824961945 is an apocalyptic number.

It is an amenable number.

10824961945 is a deficient number, since it is larger than the sum of its proper divisors (4356133223).

10824961945 is a wasteful number, since it uses less digits than its factorization.

10824961945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21409.

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 10824961945 in words is "ten billion, eight hundred twenty-four million, nine hundred sixty-one thousand, nine hundred forty-five".

Divisors: 1 5 7 35 53 265 277 371 1385 1855 1939 9695 14681 21067 73405 102767 105335 147469 513835 737345 1116551 5582755 5835559 7815857 29177795 39079285 40848913 204244565 309284627 1546423135 2164992389 10824961945