Search a number
-
+
4990769568 = 253237468353
BaseRepresentation
bin1001010010111100…
…10001100110100000
3110212211000100210100
410221132101212200
540210114111233
62143121302400
7234450561411
oct45136214640
913784010710
104990769568
112131183054
12b73494a00
13616c793b5
14354b7b808
151e3231813
hex1297919a0

4990769568 has 72 divisors (see below), whose sum is σ = 14576113188. Its totient is φ = 1618624512.

The previous prime is 4990769557. The next prime is 4990769569. The reversal of 4990769568 is 8659670994.

It is a happy number.

4990769568 is a `hidden beast` number, since 4 + 9 + 9 + 0 + 7 + 69 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4977020304 + 13749264 = 70548^2 + 3708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4990769569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223521 + ... + 244832.

Almost surely, 24990769568 is an apocalyptic number.

4990769568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4990769568 is an abundant number, since it is smaller than the sum of its proper divisors (9585343620).

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

4990769568 is a wasteful number, since it uses less digits than its factorization.

4990769568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468406 (or 468395 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The square root of 4990769568 is about 70645.3789571547. The cubic root of 4990769568 is about 1708.9230440477.

The spelling of 4990769568 in words is "four billion, nine hundred ninety million, seven hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 468353 936706 1405059 1873412 2810118 3746824 4215177 5620236 7493648 8430354 11240472 14987296 16860708 17329061 22480944 33721416 34658122 44961888 51987183 67442832 69316244 103974366 134885664 138632488 155961549 207948732 277264976 311923098 415897464 554529952 623846196 831794928 1247692392 1663589856 2495384784 4990769568