Search a number
-
+
66652833744 = 2433722739697
BaseRepresentation
bin111110000100110100…
…011000011111010000
320101001011001202222000
4332010310120133100
52043001111134434
650341521314000
74546501511310
oct760464303720
9211034052860
1066652833744
11262a3872572
1210b01a95900
136392b5c9c3
14332427d440
151b01842b99
hexf84d187d0

66652833744 has 160 divisors (see below), whose sum is σ = 218768259840. Its totient is φ = 19033325568.

The previous prime is 66652833727. The next prime is 66652833749. The reversal of 66652833744 is 44733825666.

It is a super-2 number, since 2×666528337442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66652833749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6868704 + ... + 6878400.

It is an arithmetic number, because the mean of its divisors is an integer number (1367301624).

Almost surely, 266652833744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66652833744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109384129920).

66652833744 is an abundant number, since it is smaller than the sum of its proper divisors (152115426096).

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

66652833744 is a wasteful number, since it uses less digits than its factorization.

66652833744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11994 (or 11982 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 66652833744 in words is "sixty-six billion, six hundred fifty-two million, eight hundred thirty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2273 3024 4546 6819 9092 9697 13638 15911 18184 19394 20457 27276 29091 31822 36368 38788 40914 47733 54552 58182 61371 63644 67879 77576 81828 87273 95466 109104 116364 122742 127288 135758 143199 155152 163656 174546 190932 203637 232728 245484 254576 261819 271516 286398 327312 349092 381864 407274 429597 465456 490968 523638 543032 572796 610911 698184 763728 814548 859194 981936 1047276 1086064 1145592 1221822 1396368 1629096 1718388 1832733 2094552 2291184 2443644 3258192 3436776 3665466 4189104 4887288 6873552 7330932 9774576 14661864 22041281 29323728 44082562 66123843 88165124 132247686 154288967 176330248 198371529 264495372 308577934 352660496 396743058 462866901 528990744 595114587 617155868 793486116 925733802 1057981488 1190229174 1234311736 1388600703 1586972232 1851467604 2380458348 2468623472 2777201406 3173944464 3702935208 4165802109 4760916696 5554402812 7405870416 8331604218 9521833392 11108805624 16663208436 22217611248 33326416872 66652833744