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13365429680640 = 293517102370019
BaseRepresentation
bin1100001001111110000110…
…1100000011101000000000
31202022201111202220201100210
43002133201230003220000
53222434344444240030
644231554342514120
72546422543546332
oct302374154035000
952281452821323
1013365429680640
114293279689524
1215ba387435940
1375c47c106b8b
14342c66bab452
151829eb0c7bb0
hexc27e1b03a00

13365429680640 has 160 divisors (see below), whose sum is σ = 45240997158720. Its totient is φ = 3354460749824.

The previous prime is 13365429680639. The next prime is 13365429680653. The reversal of 13365429680640 is 4608692456331.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51054450 + ... + 51315569.

It is an arithmetic number, because the mean of its divisors is an integer number (282756232242).

Almost surely, 213365429680640 is an apocalyptic number.

13365429680640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13365429680640 is an abundant number, since it is smaller than the sum of its proper divisors (31875567478080).

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

13365429680640 is a wasteful number, since it uses less digits than its factorization.

13365429680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102370062 (or 102370046 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 13365429680640 in words is "thirteen trillion, three hundred sixty-five billion, four hundred twenty-nine million, six hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 3264 3840 4080 4352 5440 6528 7680 8160 8704 10880 13056 16320 21760 26112 32640 43520 65280 130560 102370019 204740038 307110057 409480076 511850095 614220114 818960152 1023700190 1228440228 1535550285 1637920304 1740290323 2047400380 2456880456 3071100570 3275840608 3480580646 4094800760 4913760912 5220870969 6142201140 6551681216 6961161292 8189601520 8701451615 9827521824 10441741938 12284402280 13103362432 13922322584 16379203040 17402903230 19655043648 20883483876 24568804560 26104354845 26206724864 27844645168 32758406080 34805806460 39310087296 41766967752 49137609120 52208709690 52413449728 55689290336 65516812160 69611612920 78620174592 83533935504 98275218240 104417419380 111378580672 131033624320 139223225840 157240349184 167067871008 196550436480 208834838760 222757161344 262067248640 278446451680 334135742016 393100872960 417669677520 445514322688 556892903360 668271484032 786201745920 835339355040 891028645376 1113785806720 1336542968064 1670678710080 2227571613440 2673085936128 3341357420160 4455143226880 6682714840320 13365429680640