Search a number
-
+
12663787662640 = 2453134911462723
BaseRepresentation
bin1011100001001000010010…
…0100001010110100110000
31122211122110010200011101101
42320102010210022310300
53124440414120201030
642533355211214144
72444633315031322
oct270220444126460
948748403604341
1012663787662640
114042755a9a464
1215063b0a47354
1370b261711c6a
1431ad05795612
1516e632cc17ca
hexb848490ad30

12663787662640 has 80 divisors (see below), whose sum is σ = 30401817302016. Its totient is φ = 4900703788800.

The previous prime is 12663787662637. The next prime is 12663787662677. The reversal of 12663787662640 is 4626678736621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7926319 + ... + 9389041.

Almost surely, 212663787662640 is an apocalyptic number.

12663787662640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12663787662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200908651008).

12663787662640 is an abundant number, since it is smaller than the sum of its proper divisors (17738029639376).

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

12663787662640 is a wasteful number, since it uses less digits than its factorization.

12663787662640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466258 (or 1466252 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 64.

The spelling of 12663787662640 in words is "twelve trillion, six hundred sixty-three billion, seven hundred eighty-seven million, six hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 3491 6982 13964 17455 27928 34910 55856 69820 108221 139640 216442 279280 432884 541105 865768 1082210 1462723 1731536 2164420 2925446 4328840 5850892 7313615 8657680 11701784 14627230 23403568 29254460 45344413 58508920 90688826 117017840 181377652 226722065 362755304 453444130 725510608 906888260 1813776520 3627553040 5106365993 10212731986 20425463972 25531829965 40850927944 51063659930 81701855888 102127319860 158297345783 204254639720 316594691566 408509279440 633189383132 791486728915 1266378766264 1582973457830 2532757532528 3165946915660 6331893831320 12663787662640