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13824442564 = 2229119176229
BaseRepresentation
bin11001110000000000…
…00100000011000100
31022200110010110001021
430320000010003010
5211303024130224
610203441440524
7666403552162
oct147000040304
938613113037
1013824442564
1159545a0349
122819940144
1313c413213a
14952058232
1555da061e4
hex3380040c4

13824442564 has 12 divisors (see below), whose sum is σ = 25027008300. Its totient is φ = 6673868768.

The previous prime is 13824442559. The next prime is 13824442573. The reversal of 13824442564 is 46524442831.

It can be written as a sum of positive squares in 2 ways, for example, as 5099388100 + 8725054464 = 71410^2 + 93408^2 .

It is a super-2 number, since 2×138244425642 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13824442564.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59587999 + ... + 59588230.

It is an arithmetic number, because the mean of its divisors is an integer number (2085584025).

Almost surely, 213824442564 is an apocalyptic number.

It is an amenable number.

13824442564 is a deficient number, since it is larger than the sum of its proper divisors (11202565736).

13824442564 is a wasteful number, since it uses less digits than its factorization.

13824442564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119176262 (or 119176260 counting only the distinct ones).

The product of its digits is 737280, while the sum is 43.

The spelling of 13824442564 in words is "thirteen billion, eight hundred twenty-four million, four hundred forty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 29 58 116 119176229 238352458 476704916 3456110641 6912221282 13824442564