Search a number
-
+
6113299976 = 23737928201
BaseRepresentation
bin1011011000110000…
…11000111000001000
3120210001020211000122
411230120120320020
5100010001044401
62450341122412
7304331123000
oct55430307010
916701224018
106113299976
112657886833
1212273b9408
137656b8184
1441dca3000
1525ba6821b
hex16c618e08

6113299976 has 64 divisors (see below), whose sum is σ = 13536960000. Its totient is φ = 2586729600.

The previous prime is 6113299919. The next prime is 6113300051. The reversal of 6113299976 is 6799923116.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202676 + ... + 230876.

It is an arithmetic number, because the mean of its divisors is an integer number (211515000).

Almost surely, 26113299976 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 6113299976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768480000).

6113299976 is an abundant number, since it is smaller than the sum of its proper divisors (7423660024).

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

6113299976 is a wasteful number, since it uses less digits than its factorization.

6113299976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28307 (or 28289 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 53.

The square root of 6113299976 is about 78187.5947705261. The cubic root of 6113299976 is about 1828.4871065818.

The spelling of 6113299976 in words is "six billion, one hundred thirteen million, two hundred ninety-nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 79 98 158 196 316 343 392 553 632 686 1106 1372 2212 2744 3871 4424 7742 15484 27097 28201 30968 54194 56402 108388 112804 197407 216776 225608 394814 789628 1381849 1579256 2227879 2763698 4455758 5527396 8911516 9672943 11054792 15595153 17823032 19345886 31190306 38691772 62380612 77383544 109166071 124761224 218332142 436664284 764162497 873328568 1528324994 3056649988 6113299976