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13968350073270 = 2335167309788203
BaseRepresentation
bin1100101101000100001010…
…0010110101000110110110
31211110100202100000002102000
43023101002202311012312
53312324140104321040
645412545455200130
72641115510410515
oct313210242650666
954410670002360
1013968350073270
1144a5a4250a24a
1216971b0216046
137a4295ac5158
14364100c5467c
15193537512130
hexcb4428b51b6

13968350073270 has 64 divisors (see below), whose sum is σ = 37471981155840. Its totient is φ = 3702588590304.

The previous prime is 13968350073259. The next prime is 13968350073329. The reversal of 13968350073270 is 7237005386931.

13968350073270 is a `hidden beast` number, since 1 + 3 + 9 + 68 + 3 + 500 + 7 + 3 + 2 + 70 = 666.

It is a super-2 number, since 2×139683500732702 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154849012 + ... + 154939191.

It is an arithmetic number, because the mean of its divisors is an integer number (585499705560).

Almost surely, 213968350073270 is an apocalyptic number.

13968350073270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13968350073270 is an abundant number, since it is smaller than the sum of its proper divisors (23503631082570).

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

13968350073270 is a wasteful number, since it uses less digits than its factorization.

13968350073270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309788386 (or 309788380 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 13968350073270 in words is "thirteen trillion, nine hundred sixty-eight billion, three hundred fifty million, seventy-three thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 167 270 334 501 835 1002 1503 1670 2505 3006 4509 5010 7515 9018 15030 22545 45090 309788203 619576406 929364609 1548941015 1858729218 2788093827 3097882030 4646823045 5576187654 8364281481 9293646090 13940469135 16728562962 27880938270 41821407405 51734629901 83642814810 103469259802 155203889703 258673149505 310407779406 465611669109 517346299010 776019448515 931223338218 1396835007327 1552038897030 2328058345545 2793670014654 4656116691090 6984175036635 13968350073270