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4900905135 = 335719132711
BaseRepresentation
bin1001001000001110…
…11110000010101111
3110122112220202222000
410210013132002233
540014112431020
62130151223343
7232310002110
oct44407360257
913575822860
104900905135
112095484625
12b49377b53
13601474089
14346c68207
151da3d0090
hex1241de0af

4900905135 has 64 divisors (see below), whose sum is σ = 9966274560. Its totient is φ = 2238416640.

The previous prime is 4900905133. The next prime is 4900905157. The reversal of 4900905135 is 5315090094.

4900905135 is a `hidden beast` number, since 490 + 0 + 90 + 51 + 35 = 666.

It is not a de Polignac number, because 4900905135 - 21 = 4900905133 is a prime.

It is a super-2 number, since 2×49009051352 = 48037742284538736450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4900905135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4900905131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1806430 + ... + 1809140.

It is an arithmetic number, because the mean of its divisors is an integer number (155723040).

Almost surely, 24900905135 is an apocalyptic number.

4900905135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4900905135 is an abundant number, since it is smaller than the sum of its proper divisors (5065369425).

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

4900905135 is a wasteful number, since it uses less digits than its factorization.

4900905135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 4900905135 is about 70006.4649514600. The cubic root of 4900905135 is about 1698.6038288723.

The spelling of 4900905135 in words is "four billion, nine hundred million, nine hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1913 2711 5739 8133 9565 13391 13555 17217 18977 24399 28695 40173 40665 51651 56931 66955 73197 86085 94885 120519 121995 170793 200865 258255 284655 361557 365985 512379 602595 853965 1807785 2561895 5186143 15558429 25930715 36303001 46675287 77792145 108909003 140025861 181515005 233376435 326727009 544545015 700129305 980181027 1633635045 4900905135