Search a number
-
+
20734496568 = 23323141922171
BaseRepresentation
bin10011010011110111…
…110100111100111000
31222112000121120010100
4103103313310330320
5314431012342233
613305244115400
71332551212212
oct232367647470
958460546110
1020734496568
1188800a0185
124027b35b60
131c559048a6
141009a7d5b2
158154a4813
hex4d3df4f38

20734496568 has 96 divisors (see below), whose sum is σ = 58108377600. Its totient is φ = 6672283200.

The previous prime is 20734496561. The next prime is 20734496569. The reversal of 20734496568 is 86569443702.

20734496568 is a `hidden beast` number, since 2 + 0 + 7 + 34 + 49 + 6 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20734496561) 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, 924123 + ... + 946293.

It is an arithmetic number, because the mean of its divisors is an integer number (605295600).

Almost surely, 220734496568 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 20734496568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29054188800).

20734496568 is an abundant number, since it is smaller than the sum of its proper divisors (37373881032).

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

20734496568 is a wasteful number, since it uses less digits than its factorization.

20734496568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22633 (or 22626 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

It can be divided in two parts, 2073 and 4496568, that added together give a square (4498641 = 21212).

The spelling of 20734496568 in words is "twenty billion, seven hundred thirty-four million, four hundred ninety-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 419 558 744 838 1116 1257 1676 2232 2514 3352 3771 5028 7542 10056 12989 15084 22171 25978 30168 38967 44342 51956 66513 77934 88684 103912 116901 133026 155868 177368 199539 233802 266052 311736 399078 467604 532104 687301 798156 935208 1374602 1596312 2061903 2749204 4123806 5498408 6185709 8247612 9289649 12371418 16495224 18579298 24742836 27868947 37158596 49485672 55737894 74317192 83606841 111475788 167213682 222951576 287979119 334427364 575958238 668854728 863937357 1151916476 1727874714 2303832952 2591812071 3455749428 5183624142 6911498856 10367248284 20734496568