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13642442061012 = 2232892934243969
BaseRepresentation
bin1100011010000110000011…
…1010011011010011010100
31210022012112020120200012100
43012201200322123103110
53242004210131423022
645003130143322100
72605430301124542
oct306414072332324
953265466520170
1013642442061012
11438a7aa981976
121643bb62b0330
1377c6275bc79b
14352424d24d92
15189d105c01ac
hexc6860e9b4d4

13642442061012 has 36 divisors (see below), whose sum is σ = 34485456203380. Its totient is φ = 4547428687872.

The previous prime is 13642442060981. The next prime is 13642442061047. The reversal of 13642442061012 is 21016024424631.

13642442061012 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 2 + 4 + 4 + 20 + 610 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6695032050576 + 6947410010436 = 2587476^2 + 2635794^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×136424420610122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1092564 + ... + 5336532.

Almost surely, 213642442061012 is an apocalyptic number.

13642442061012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13642442061012 is an abundant number, since it is smaller than the sum of its proper divisors (20843014142368).

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

13642442061012 is a wasteful number, since it uses less digits than its factorization.

13642442061012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333272 (or 4333267 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 13642442061012 its reverse (21016024424631), we get a palindrome (34658466485643).

The spelling of 13642442061012 in words is "thirteen trillion, six hundred forty-two billion, four hundred forty-two million, sixty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89293 178586 267879 357172 535758 803637 1071516 1607274 3214548 4243969 8487938 12731907 16975876 25463814 38195721 50927628 76391442 152782884 378956723917 757913447834 1136870171751 1515826895668 2273740343502 3410610515253 4547480687004 6821221030506 13642442061012