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4813913268 = 223437210853
BaseRepresentation
bin1000111101110111…
…00111110010110100
3110102111020010120000
410132323213302310
534324330211033
62113402511300
7230202405363
oct43673476264
913374203500
104813913268
11205036831a
12b24205530
135b94363b8
143394a17da
151d2949a13
hex11eee7cb4

4813913268 has 90 divisors (see below), whose sum is σ = 12935026566. Its totient is φ = 1561125312.

The previous prime is 4813913189. The next prime is 4813913287. The reversal of 4813913268 is 8623193184.

4813913268 is a `hidden beast` number, since 481 + 39 + 132 + 6 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2798621604 + 2015291664 = 52902^2 + 44892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 438130 + ... + 448982.

Almost surely, 24813913268 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 4813913268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467513283).

4813913268 is an abundant number, since it is smaller than the sum of its proper divisors (8121113298).

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

4813913268 is a wasteful number, since it uses less digits than its factorization.

4813913268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10943 (or 10895 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 4813913268 is about 69382.3700085259. The cubic root of 4813913268 is about 1688.4936062535.

The spelling of 4813913268 in words is "four billion, eight hundred thirteen million, nine hundred thirteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1369 1998 2738 2997 3996 4107 5476 5994 8214 10853 11988 12321 16428 21706 24642 32559 36963 43412 49284 65118 73926 97677 110889 130236 147852 195354 221778 293031 390708 401561 443556 586062 803122 879093 1172124 1204683 1606244 1758186 2409366 3516372 3614049 4818732 7228098 10842147 14456196 14857757 21684294 29715514 32526441 43368588 44573271 59431028 65052882 89146542 130105764 133719813 178293084 267439626 401159439 534879252 802318878 1203478317 1604637756 2406956634 4813913268