Search a number
-
+
634422224436 = 2237111352815703
BaseRepresentation
bin10010011101101101000…
…00101110011000110100
32020122112222100020100120
421032312200232120310
540343244042140221
61203241034011540
763556400634330
oct11166640563064
92218488306316
10634422224436
11225069896270
12a2b56876bb0
1347a97267350
14229c5b507c0
1511781d205c6
hex93b682e634

634422224436 has 96 divisors (see below), whose sum is σ = 1987560572928. Its totient is φ = 152109221760.

The previous prime is 634422224413. The next prime is 634422224473.

634422224436 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 26395840 + ... + 26419863.

It is an arithmetic number, because the mean of its divisors is an integer number (20703755968).

Almost surely, 2634422224436 is an apocalyptic number.

634422224436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

634422224436 is an abundant number, since it is smaller than the sum of its proper divisors (1353138348492).

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

634422224436 is a wasteful number, since it uses less digits than its factorization.

634422224436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52815741 (or 52815739 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 634422 and 224436, that added together give a palindrome (858858).

The spelling of 634422224436 in words is "six hundred thirty-four billion, four hundred twenty-two million, two hundred twenty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 52815703 105631406 158447109 211262812 316894218 369709921 580972733 633788436 686604139 739419842 1109129763 1161945466 1373208278 1478839684 1742918199 2059812417 2218259526 2323890932 2746416556 3485836398 4066809131 4119624834 4436519052 4806228973 6971672796 7552645529 8133618262 8239249668 9612457946 12200427393 14418686919 15105291058 16267236524 19224915892 22657936587 24400854786 28837373838 30210582116 45315873174 48801709572 52868518703 57674747676 90631746348 105737037406 158605556109 211474074812 317211112218 634422224436