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13806564870 = 2357211383117
BaseRepresentation
bin11001101101110111…
…10111011000000110
31022122012111011110110
430312323313120012
5211233440033440
610202002333450
7666065602500
oct146673673006
938565434413
1013806564870
11594549a59a
12281395a286
1313c0512a17
1494d922d70
1555c174080
hex336ef7606

13806564870 has 96 divisors (see below), whose sum is σ = 38887255008. Its totient is φ = 3127821312.

The previous prime is 13806564859. The next prime is 13806564899. The reversal of 13806564870 is 7846560831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124552 + ... + 207668.

It is an arithmetic number, because the mean of its divisors is an integer number (405075573).

Almost surely, 213806564870 is an apocalyptic number.

13806564870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13806564870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19443627504).

13806564870 is an abundant number, since it is smaller than the sum of its proper divisors (25080690138).

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

13806564870 is a wasteful number, since it uses less digits than its factorization.

13806564870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83254 (or 83247 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 13806564870 in words is "thirteen billion, eight hundred six million, five hundred sixty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 113 147 210 226 245 294 339 490 565 678 735 791 1130 1470 1582 1695 2373 3390 3955 4746 5537 7910 11074 11865 16611 23730 27685 33222 55370 83055 83117 166110 166234 249351 415585 498702 581819 831170 1163638 1246755 1745457 2493510 2909095 3490914 4072733 5818190 8145466 8727285 9392221 12218199 17454570 18784442 20363665 24436398 28176663 40727330 46961105 56353326 61090995 65745547 93922210 122181990 131491094 140883315 197236641 281766630 328727735 394473282 460218829 657455470 920437658 986183205 1380656487 1972366410 2301094145 2761312974 4602188290 6903282435 13806564870