Search a number
-
+
5668952177344 = 26377197347609
BaseRepresentation
bin101001001111110011111…
…1000010111101011000000
3202001221120000122201022111
41102133213320113223000
51220340003224133334
620020140343145104
71123365630310231
oct122374770275300
922057500581274
105668952177344
111896209795495
12776820745194
133217700568c1
14158543407088
159c6e0bc4064
hex527e7e17ac0

5668952177344 has 112 divisors (see below), whose sum is σ = 11836904708160. Its totient is φ = 2690986475520.

The previous prime is 5668952177323. The next prime is 5668952177353. The reversal of 5668952177344 is 4437712598665.

It is a self number, because there is not a number n which added to its sum of digits gives 5668952177344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16134612 + ... + 16482220.

It is an arithmetic number, because the mean of its divisors is an integer number (105686649180).

Almost surely, 25668952177344 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 5668952177344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918452354080).

5668952177344 is an abundant number, since it is smaller than the sum of its proper divisors (6167952530816).

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

5668952177344 is a wasteful number, since it uses less digits than its factorization.

5668952177344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347826 (or 347816 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 67.

The spelling of 5668952177344 in words is "five trillion, six hundred sixty-eight billion, nine hundred fifty-two million, one hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 71 74 97 142 148 194 284 296 388 568 592 776 1136 1184 1552 2272 2368 2627 3104 3589 4544 5254 6208 6887 7178 10508 13774 14356 21016 27548 28712 42032 55096 57424 84064 110192 114848 168128 220384 229696 254819 347609 440768 509638 695218 1019276 1390436 2038552 2780872 4077104 5561744 8154208 11123488 12861533 16308416 22246976 24680239 25723066 33718073 49360478 51446132 67436146 98720956 102892264 134872292 197441912 205784528 269744584 394883824 411569056 539489168 789767648 823138112 913168843 1078978336 1247568701 1579535296 1826337686 2157956672 2393983183 2495137402 3652675372 4787966366 4990274804 7305350744 9575932732 9980549608 14610701488 19151865464 19961099216 29221402976 38303730928 39922198432 58442805952 76607461856 79844396864 88577377771 153214923712 177154755542 354309511084 708619022168 1417238044336 2834476088672 5668952177344