Search a number
-
+
672642207336 = 2331141172136109
BaseRepresentation
bin10011100100111001001…
…10011000111001101000
32101022012120222112102210
421302130212120321220
542010032401113321
61233001344525120
766411462266031
oct11623446307150
92338176875383
10672642207336
1123a2a1a990a0
12aa4426207a0
134b578605248
14247adb67a88
151276c3e9b76
hex9c9c998e68

672642207336 has 128 divisors (see below), whose sum is σ = 1880366140800. Its totient is φ = 198738432000.

The previous prime is 672642207319. The next prime is 672642207389. The reversal of 672642207336 is 633702246276.

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, 18610050 + ... + 18646158.

It is an arithmetic number, because the mean of its divisors is an integer number (14690360475).

Almost surely, 2672642207336 is an apocalyptic number.

672642207336 is a gapful number since it is divisible by the number (66) 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 672642207336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940183070400).

672642207336 is an abundant number, since it is smaller than the sum of its proper divisors (1207723933464).

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

672642207336 is a wasteful number, since it uses less digits than its factorization.

672642207336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37891 (or 37887 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 48.

It can be divided in two parts, 672642 and 207336, that added together give a palindrome (879978).

The spelling of 672642207336 in words is "six hundred seventy-two billion, six hundred forty-two million, two hundred seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1721 1804 2706 3442 3608 5163 5412 6884 10326 10824 13768 18931 20652 36109 37862 41304 56793 70561 72218 75724 108327 113586 141122 144436 151448 211683 216654 227172 282244 288872 397199 423366 433308 454344 564488 776171 794398 846732 866616 1191597 1480469 1552342 1588796 1693464 2328513 2383194 2960938 3104684 3177592 4441407 4657026 4766388 5921876 6209368 8882814 9314052 9532776 11843752 16285159 17765628 18628104 32570318 35531256 48855477 62143589 65140636 97710954 124287178 130281272 186430767 195421908 248574356 372861534 390843816 497148712 683579479 745723068 1367158958 1491446136 2050738437 2547887149 2734317916 4101476874 5095774298 5468635832 7643661447 8202953748 10191548596 15287322894 16405907496 20383097192 28026758639 30574645788 56053517278 61149291576 84080275917 112107034556 168160551834 224214069112 336321103668 672642207336