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13623443540 = 2257261227893
BaseRepresentation
bin11001011000000010…
…10100000001010100
31022011102220122012222
430230001110001110
5210400100143130
610131501401512
7661413234200
oct145401240124
938142818188
1013623443540
115861095853
122782569298
1313915b81c5
14933495b00
1554b050ce5
hex32c054054

13623443540 has 72 divisors (see below), whose sum is σ = 33825850632. Its totient is φ = 4594302720.

The previous prime is 13623443531. The next prime is 13623443591. The reversal of 13623443540 is 4534432631.

It can be written as a sum of positive squares in 4 ways, for example, as 192487876 + 13430955664 = 13874^2 + 115892^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13623443540.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 54167 + ... + 173726.

It is an arithmetic number, because the mean of its divisors is an integer number (469803481).

Almost surely, 213623443540 is an apocalyptic number.

13623443540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13623443540 is an abundant number, since it is smaller than the sum of its proper divisors (20202407092).

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

13623443540 is a wasteful number, since it uses less digits than its factorization.

13623443540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227977 (or 227968 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The spelling of 13623443540 in words is "thirteen billion, six hundred twenty-three million, four hundred forty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 427 490 610 854 980 1220 1708 2135 2989 4270 5978 8540 11956 14945 29890 59780 227893 455786 911572 1139465 1595251 2278930 3190502 4557860 6381004 7976255 11166757 13901473 15952510 22333514 27802946 31905020 44667028 55605892 55833785 69507365 97310311 111667570 139014730 194620622 223335140 278029460 389241244 486551555 681172177 973103110 1362344354 1946206220 2724688708 3405860885 6811721770 13623443540