Search a number
-
+
4948616736 = 253272454671
BaseRepresentation
bin1001001101111010…
…11110011000100000
3110202212200202222100
410212331132120200
540113321213421
62135014010400
7233426356020
oct44675363040
913685622870
104948616736
11210a401aa8
12b61346a00
1360b30a9ab
1434d327a80
151de6a6c26
hex126f5e620

4948616736 has 72 divisors (see below), whose sum is σ = 16083010944. Its totient is φ = 1413889920.

The previous prime is 4948616723. The next prime is 4948616749. The reversal of 4948616736 is 6376168494.

4948616736 is a `hidden beast` number, since 494 + 8 + 61 + 67 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (4948616723) and next prime (4948616749).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1225320 + ... + 1229351.

It is an arithmetic number, because the mean of its divisors is an integer number (223375152).

Almost surely, 24948616736 is an apocalyptic number.

It is an amenable number.

4948616736 is an abundant number, since it is smaller than the sum of its proper divisors (11134394208).

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

4948616736 is a wasteful number, since it uses less digits than its factorization.

4948616736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454694 (or 2454683 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4948616736 is about 70346.4052812935. The cubic root of 4948616736 is about 1704.0981560862.

The spelling of 4948616736 in words is "four billion, nine hundred forty-eight million, six hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2454671 4909342 7364013 9818684 14728026 17182697 19637368 22092039 29456052 34365394 39274736 44184078 51548091 58912104 68730788 78549472 88368156 103096182 117824208 137461576 154644273 176736312 206192364 235648416 274923152 309288546 353472624 412384728 549846304 618577092 706945248 824769456 1237154184 1649538912 2474308368 4948616736