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33057279206116 = 2211253249312
BaseRepresentation
bin1111000010000101111110…
…11000100110001011100100
311100001020121121220012010121
413201002333120212023210
513313102301434043431
6154150145430531324
76651211124021314
oct741027730461344
9140036547805117
1033057279206116
11a595571346100
12385a87bb06b44
13155a398b12009
14823da364d444
153c4d67e7e611
hex1e10bf6262e4

33057279206116 has 81 divisors (see below), whose sum is σ = 64822998665929. Its totient is φ = 14739536125600.

The previous prime is 33057279206113. The next prime is 33057279206117. The reversal of 33057279206116 is 61160297275033.

The square root of 33057279206116 is 5749546.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23830897256100 + 9226381950016 = 4881690^2 + 3037496^2 .

It is a super-2 number, since 2×330572792061162 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33057279206113) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6703968171 + ... + 6703973101.

Almost surely, 233057279206116 is an apocalyptic number.

33057279206116 is the 5749546-th square number.

It is an amenable number.

33057279206116 is a deficient number, since it is larger than the sum of its proper divisors (31765719459813).

33057279206116 is an frugal number, since it uses more digits than its factorization.

33057279206116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9994 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 33057279206116 in words is "thirty-three trillion, fifty-seven billion, two hundred seventy-nine million, two hundred six thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 44 53 106 121 212 242 484 583 1166 2332 2809 4931 5618 6413 9862 11236 12826 19724 25652 30899 54241 61798 108482 123596 216964 261343 339889 522686 596651 679778 1045372 1193302 1359556 2386604 2874773 5749546 11499092 13851179 24314761 27702358 31622503 48629522 55404716 63245006 97259044 126490012 152362969 267462371 304725938 534924742 609451876 1069849484 1288682333 1675992659 2577364666 2942086081 3351985318 5154729332 5884172162 6703970636 11768344324 14175505663 28351011326 56702022652 68300163649 136600327298 155930562293 273200654596 311861124586 623722249172 751301800139 1502603600278 3005207200556 8264319801529 16528639603058 33057279206116