Search a number
-
+
385631830836 = 22327354157727
BaseRepresentation
bin1011001110010010111…
…00101100001100110100
31100212101100022202021100
411213021130230030310
522304233222041321
6453053512250100
736601213323000
oct5471134541464
91325340282240
10385631830836
1113960012a22a
12628a33a0930
132a4989842b5
1414943c4d700
15a0702dd326
hex59c972c334

385631830836 has 144 divisors (see below), whose sum is σ = 1138904166400. Its totient is φ = 109974957120.

The previous prime is 385631830823. The next prime is 385631830841. The reversal of 385631830836 is 638038136583.

It is a happy number.

385631830836 is a `hidden beast` number, since 3 + 8 + 563 + 18 + 30 + 8 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6651405 + ... + 6709131.

Almost surely, 2385631830836 is an apocalyptic number.

385631830836 is a gapful number since it is divisible by the number (36) 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 385631830836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569452083200).

385631830836 is an abundant number, since it is smaller than the sum of its proper divisors (753272335564).

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

385631830836 is a wasteful number, since it uses less digits than its factorization.

385631830836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58299 (or 58280 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 385631830836 in words is "three hundred eighty-five billion, six hundred thirty-one million, eight hundred thirty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 541 588 686 882 1029 1082 1372 1623 1764 2058 2164 3087 3246 3787 4116 4869 6174 6492 7574 9738 11361 12348 15148 19476 22722 26509 34083 45444 53018 57727 68166 79527 106036 115454 136332 159054 173181 185563 230908 238581 318108 346362 371126 404089 477162 519543 556689 692724 742252 808178 954324 1039086 1113378 1212267 1616356 1670067 2078172 2226756 2424534 2828623 3340134 3636801 4849068 5657246 6680268 7273602 8485869 11314492 14547204 16971738 19800361 25457607 31230307 33943476 39600722 50915214 59401083 62460614 79201444 93690921 101830428 118802166 124921228 178203249 187381842 218612149 237604332 281072763 356406498 374763684 437224298 562145526 655836447 712812996 874448596 1124291052 1311672894 1530285043 1967509341 2623345788 3060570086 3935018682 4590855129 6121140172 7870037364 9181710258 10711995301 13772565387 18363420516 21423990602 27545130774 32135985903 42847981204 55090261548 64271971806 96407957709 128543943612 192815915418 385631830836