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213571068408 = 233217351149697
BaseRepresentation
bin1100011011100111010…
…0111110000111111000
3202102021010122101112200
43012321310332013320
511444343143142113
6242040241110200
721300330062055
oct3067164760770
9672233571480
10213571068408
1182636333815
1235484628360
13171a7ac9b79
14a4a062202c
15584eacb873
hex31b9d3e1f8

213571068408 has 96 divisors (see below), whose sum is σ = 612633209760. Its totient is φ = 66982256640.

The previous prime is 213571068401. The next prime is 213571068463. The reversal of 213571068408 is 804860175312.

213571068408 is a `hidden beast` number, since 2 + 13 + 571 + 0 + 68 + 4 + 0 + 8 = 666.

213571068408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2135710684082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213571068401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4272616 + ... + 4322312.

It is an arithmetic number, because the mean of its divisors is an integer number (6381595935).

Almost surely, 2213571068408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213571068408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306316604880).

213571068408 is an abundant number, since it is smaller than the sum of its proper divisors (399062141352).

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

213571068408 is a wasteful number, since it uses less digits than its factorization.

213571068408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53237 (or 53230 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 213571068408 in words is "two hundred thirteen billion, five hundred seventy-one million, sixty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 3511 7022 10533 14044 21066 28088 31599 42132 49697 59687 63198 84264 99394 119374 126396 149091 179061 198788 238748 252792 298182 358122 397576 447273 477496 537183 596364 716244 844849 894546 1074366 1192728 1432488 1689698 1789092 2148732 2534547 3379396 3578184 4297464 5069094 6758792 7603641 10138188 15207282 20276376 30414564 60829128 174486167 348972334 523458501 697944668 1046917002 1395889336 1570375503 2093834004 2966264839 3140751006 4187668008 5932529678 6281502012 8898794517 11865059356 12563004024 17797589034 23730118712 26696383551 35595178068 53392767102 71190356136 106785534204 213571068408