Search a number
-
+
6066352645332 = 2237671165792467
BaseRepresentation
bin101100001000110111011…
…0010110110010011010100
3210110221022112202011202220
41120101232302312103110
51243342342234122312
620522502142302340
71164164605456560
oct130215662662324
923427275664686
106066352645332
111a297a8a11a21
1281b8492879b0
13350092c57005
1416d88224a6a0
15a7bee280c8c
hex5846ecb64d4

6066352645332 has 96 divisors (see below), whose sum is σ = 16419973291008. Its totient is φ = 1707209374464.

The previous prime is 6066352645319. The next prime is 6066352645489. The reversal of 6066352645332 is 2335462536606.

It is a super-3 number, since 3×60663526453323 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65559363 + ... + 65651829.

It is an arithmetic number, because the mean of its divisors is an integer number (171041388448).

Almost surely, 26066352645332 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 6066352645332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8209986645504).

6066352645332 is an abundant number, since it is smaller than the sum of its proper divisors (10353620645676).

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

6066352645332 is a wasteful number, since it uses less digits than its factorization.

6066352645332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104205 (or 104203 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 51.

The spelling of 6066352645332 in words is "six trillion, sixty-six billion, three hundred fifty-two million, six hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 5628 11657 23314 34971 46628 69942 81599 92467 139884 163198 184934 244797 277401 326396 369868 489594 554802 647269 781019 979188 1109604 1294538 1562038 1941807 2343057 2589076 3124076 3883614 4686114 5467133 6195289 7767228 9372228 10934266 12390578 16401399 18585867 21868532 24781156 32802798 37171734 43367023 65605596 74343468 86734046 130101069 173468092 260202138 520404276 1077887819 2155775638 3233663457 4311551276 6467326914 7545214733 12934653828 15090429466 22635644199 30180858932 45271288398 72218483873 90542576796 144436967746 216655451619 288873935492 433310903238 505529387111 866621806476 1011058774222 1516588161333 2022117548444 3033176322666 6066352645332