Search a number
-
+
3331961645264 = 247831079933191
BaseRepresentation
bin110000011111001000011…
…000111110100011010000
3102210112101010200002222122
4300133020120332203100
5414042324140122024
611030403153353412
7462504054453620
oct60371030764320
912715333602878
103331961645264
11107509353713a
1245990b268868
131b228325c235
14b73a6bd6880
155ba12d64d5e
hex307c863e8d0

3331961645264 has 80 divisors (see below), whose sum is σ = 7467722035200. Its totient is φ = 1410605800320.

The previous prime is 3331961645179. The next prime is 3331961645293. The reversal of 3331961645264 is 4625461691333.

It is a super-2 number, since 2×33319616452642 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 100370909 + ... + 100404099.

It is an arithmetic number, because the mean of its divisors is an integer number (93346525440).

Almost surely, 23331961645264 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 3331961645264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733861017600).

3331961645264 is an abundant number, since it is smaller than the sum of its proper divisors (4135760389936).

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

3331961645264 is a wasteful number, since it uses less digits than its factorization.

3331961645264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44088 (or 44082 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 53.

The spelling of 3331961645264 in words is "three trillion, three hundred thirty-one billion, nine hundred sixty-one million, six hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1162 1328 2324 4648 9296 10799 21598 33191 43196 66382 75593 86392 132764 151186 172784 232337 265528 302372 464674 531056 604744 896317 929348 1209488 1792634 1858696 2754853 3585268 3717392 5509706 6274219 7170536 11019412 12548438 14341072 19283971 22038824 25096876 38567942 44077648 50193752 77135884 100387504 154271768 308543536 358429609 716859218 1433718436 2509007263 2867436872 5018014526 5734873744 10036029052 20072058104 29749657547 40144116208 59499315094 118998630188 208247602829 237997260376 416495205658 475994520752 832990411316 1665980822632 3331961645264