Search a number
-
+
4960908468 = 2232476134783
BaseRepresentation
bin1001001111011000…
…10111010010110100
3110210201211021001200
410213230113102310
540124443032333
62140133252500
7233636011665
oct44754272264
913721737050
104960908468
112116337a5a
12b65494130
13610a226c9
14350c0736c
151e07d3c13
hex127b174b4

4960908468 has 72 divisors (see below), whose sum is σ = 12830458368. Its totient is φ = 1615474368.

The previous prime is 4960908467. The next prime is 4960908473. The reversal of 4960908468 is 8648090694.

4960908468 is a `hidden beast` number, since 4 + 96 + 0 + 90 + 8 + 468 = 666.

It is a super-2 number, since 2×49609084682 = 49221225655748214048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960908467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1034805 + ... + 1039587.

Almost surely, 24960908468 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 4960908468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415229184).

4960908468 is an abundant number, since it is smaller than the sum of its proper divisors (7869549900).

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

4960908468 is a wasteful number, since it uses less digits than its factorization.

4960908468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4960908468 is about 70433.7168407291. The cubic root of 4960908468 is about 1705.5079102448.

The spelling of 4960908468 in words is "four billion, nine hundred sixty million, nine hundred eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 613 846 1226 1692 1839 2452 3678 4783 5517 7356 9566 11034 14349 19132 22068 28698 28811 43047 57396 57622 86094 86433 115244 172188 172866 224801 259299 345732 449602 518598 674403 899204 1037196 1348806 2023209 2697612 2931979 4046418 5863958 8092836 8795937 11727916 17591874 26387811 35183748 52775622 105551244 137803013 275606026 413409039 551212052 826818078 1240227117 1653636156 2480454234 4960908468