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4960822900 = 2252118815119
BaseRepresentation
bin1001001111011000…
…00010011001110100
3110210201122220200111
410213230002121310
540124432313100
62140131352404
7233635204345
oct44754023164
913721586614
104960822900
112116289740
12b65452704
136109c2787
14350bc40cc
151e07b86ba
hex127b02674

4960822900 has 72 divisors (see below), whose sum is σ = 11759247360. Its totient is φ = 1801536000.

The previous prime is 4960822897. The next prime is 4960822939. The reversal of 4960822900 is 92280694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 966541 + ... + 971659.

It is an arithmetic number, because the mean of its divisors is an integer number (163322880).

Almost surely, 24960822900 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 4960822900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879623680).

4960822900 is an abundant number, since it is smaller than the sum of its proper divisors (6798424460).

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

4960822900 is a wasteful number, since it uses less digits than its factorization.

4960822900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 4960822900 is about 70433.1094017579. The cubic root of 4960822900 is about 1705.4981043970.

The spelling of 4960822900 in words is "four billion, nine hundred sixty million, eight hundred twenty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 881 1100 1762 3524 4405 5119 8810 9691 10238 17620 19382 20476 22025 25595 38764 44050 48455 51190 56309 88100 96910 102380 112618 127975 193820 225236 242275 255950 281545 484550 511900 563090 969100 1126180 1407725 2815450 4509839 5630900 9019678 18039356 22549195 45098390 49608229 90196780 99216458 112745975 198432916 225491950 248041145 450983900 496082290 992164580 1240205725 2480411450 4960822900