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235312565004 = 223211976126017
BaseRepresentation
bin1101101100100110111…
…0001100101100001100
3211111101100002212000100
43123021232030230030
512323410004040004
6300033500531100
723000156541366
oct3331156145414
9744340085010
10235312565004
1190882898a20
1239731850a90
131926121cb5a
14b563d11d36
1561c3696739
hex36c9b8cb0c

235312565004 has 72 divisors (see below), whose sum is σ = 655581942288. Its totient is φ = 70571704320.

The previous prime is 235312564997. The next prime is 235312565021. The reversal of 235312565004 is 400565213532.

235312565004 is a `hidden beast` number, since 2 + 353 + 1 + 256 + 50 + 0 + 4 = 666.

235312565004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 235312565004.

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 23 ways as a sum of consecutive naturals, for example, 3024597 + ... + 3101420.

It is an arithmetic number, because the mean of its divisors is an integer number (9105304754).

Almost surely, 2235312565004 is an apocalyptic number.

It is an amenable number.

235312565004 is an abundant number, since it is smaller than the sum of its proper divisors (420269377284).

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

235312565004 is a wasteful number, since it uses less digits than its factorization.

235312565004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126135 (or 6126130 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 235312565004 its reverse (400565213532), we get a palindrome (635877778536).

The spelling of 235312565004 in words is "two hundred thirty-five billion, three hundred twelve million, five hundred sixty-five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 873 1067 1164 1746 2134 3201 3492 4268 6402 9603 12804 19206 38412 6126017 12252034 18378051 24504068 36756102 55134153 67386187 73512204 110268306 134772374 202158561 220536612 269544748 404317122 594223649 606475683 808634244 1188447298 1212951366 1782670947 2376894596 2425902732 3565341894 5348012841 6536460139 7130683788 10696025682 13072920278 19609380417 21392051364 26145840556 39218760834 58828141251 78437521668 117656282502 235312565004