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13424064640 = 27572996443
BaseRepresentation
bin11001000000010001…
…01111100010000000
31021122112202010210021
430200020233202000
5204443030032030
610100020143224
7653442444460
oct144010574200
937575663707
1013424064640
1157695974a8
122727837b14
13135c1ba81c
14914bd5ba0
155387ba97a
hex32022f880

13424064640 has 64 divisors (see below), whose sum is σ = 36676474560. Its totient is φ = 4602534912.

The previous prime is 13424064629. The next prime is 13424064653. The reversal of 13424064640 is 4646042431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×134240646402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13424064596 and 13424064605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1493742 + ... + 1502701.

It is an arithmetic number, because the mean of its divisors is an integer number (573069915).

Almost surely, 213424064640 is an apocalyptic number.

13424064640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13424064640 is an abundant number, since it is smaller than the sum of its proper divisors (23252409920).

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

13424064640 is an equidigital number, since it uses as much as digits as its factorization.

13424064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996469 (or 2996457 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 13424064640 in words is "thirteen billion, four hundred twenty-four million, sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 2996443 5992886 11985772 14982215 20975101 23971544 29964430 41950202 47943088 59928860 83900404 95886176 104875505 119857720 167800808 191772352 209751010 239715440 335601616 383544704 419502020 479430880 671203232 839004040 958861760 1342406464 1678008080 1917723520 2684812928 3356016160 6712032320 13424064640