Search a number
-
+
61323866845632 = 263447924696137
BaseRepresentation
bin11011111000110000100110…
…10011001011000111000000
322001010111121201102100110000
431330120103103023013000
531014212234403030012
6334231443455240000
715626334405441336
oct1574302323130700
9261114551370400
1061323866845632
11185a3340140706
126a64b86b19000
13282aa7b4c07a1
14112013b979b56
15715293e65ddc
hex37c6134cb1c0

61323866845632 has 140 divisors (see below), whose sum is σ = 182162665270080. Its totient is φ = 20398613197824.

The previous prime is 61323866845621. The next prime is 61323866845639. The reversal of 61323866845632 is 23654866832316.

61323866845632 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 3 + 8 + 6 + 68 + 4 + 563 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61323866845632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61323866845639) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9864933 + ... + 14831204.

Almost surely, 261323866845632 is an apocalyptic number.

It is an amenable number.

61323866845632 is an abundant number, since it is smaller than the sum of its proper divisors (120838798424448).

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

61323866845632 is a wasteful number, since it uses less digits than its factorization.

61323866845632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24696640 (or 24696621 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 63.

The spelling of 61323866845632 in words is "sixty-one trillion, three hundred twenty-three billion, eight hundred sixty-six million, eight hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 479 576 648 864 958 1296 1437 1728 1916 2592 2874 3832 4311 5184 5748 7664 8622 11496 12933 15328 17244 22992 25866 30656 34488 38799 45984 51732 68976 77598 91968 103464 137952 155196 206928 275904 310392 413856 620784 827712 1241568 2483136 24696137 49392274 74088411 98784548 148176822 197569096 222265233 296353644 395138192 444530466 592707288 666795699 790276384 889060932 1185414576 1333591398 1580552768 1778121864 2000387097 2370829152 2667182796 3556243728 4000774194 4741658304 5334365592 7112487456 8001548388 10668731184 11829449623 14224974912 16003096776 21337462368 23658899246 32006193552 35488348869 42674924736 47317798492 64012387104 70976697738 94635596984 106465046607 128024774208 141953395476 189271193968 212930093214 283906790952 319395139821 378542387936 425860186428 567813581904 638790279642 757084775872 851720372856 958185419463 1135627163808 1277580559284 1703440745712 1916370838926 2271254327616 2555161118568 3406881491424 3832741677852 5110322237136 6813762982848 7665483355704 10220644474272 15330966711408 20441288948544 30661933422816 61323866845632