Search a number
-
+
20762295696 = 24324118119429
BaseRepresentation
bin10011010101100001…
…110111110110010000
31222120221220220100200
4103111201313312100
5320010121430241
613312120015200
71333336413222
oct232541676620
958527826320
1020762295696
11889485806a
124035301500
131c5b5b8b8c
14100d638412
15817b464b6
hex4d5877d90

20762295696 has 120 divisors (see below), whose sum is σ = 59854736760. Its totient is φ = 6714316800.

The previous prime is 20762295691. The next prime is 20762295713. The reversal of 20762295696 is 69659226702.

It is a happy number.

20762295696 is a `hidden beast` number, since 2 + 0 + 7 + 622 + 9 + 5 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6362295696 + 14400000000 = 79764^2 + 120000^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20762295691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058910 + ... + 1078338.

It is an arithmetic number, because the mean of its divisors is an integer number (498789473).

Almost surely, 220762295696 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 20762295696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29927368380).

20762295696 is an abundant number, since it is smaller than the sum of its proper divisors (39092441064).

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

20762295696 is a wasteful number, since it uses less digits than its factorization.

20762295696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19665 (or 19656 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 20762295696 in words is "twenty billion, seven hundred sixty-two million, two hundred ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 181 246 328 362 369 492 543 656 724 738 984 1086 1448 1476 1629 1968 2172 2896 2952 3258 4344 5904 6516 7421 8688 13032 14842 19429 22263 26064 29684 38858 44526 58287 59368 66789 77716 89052 116574 118736 133578 155432 174861 178104 233148 267156 310864 349722 356208 466296 534312 699444 796589 932592 1068624 1398888 1593178 2389767 2797776 3186356 3516649 4779534 6372712 7033298 7169301 9559068 10549947 12745424 14066596 14338602 19118136 21099894 28133192 28677204 31649841 38236272 42199788 56266384 57354408 63299682 84399576 114708816 126599364 144182609 168799152 253198728 288365218 432547827 506397456 576730436 865095654 1153460872 1297643481 1730191308 2306921744 2595286962 3460382616 5190573924 6920765232 10381147848 20762295696