Search a number
-
+
20623600564 = 2274730751047
BaseRepresentation
bin10011001101010000…
…110010101110110100
31222020021221110101221
4103031100302232310
5314214120204224
613250243200124
71330033466230
oct231520625664
958207843357
1020623600564
118823537396
123bb6976044
131c38947758
14dd90535c0
1580a89b6e4
hex4cd432bb4

20623600564 has 48 divisors (see below), whose sum is σ = 42262843392. Its totient is φ = 8622281952.

The previous prime is 20623600513. The next prime is 20623600573. The reversal of 20623600564 is 46500632602.

It is a super-2 number, since 2×206236005642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378489 + ... + 429535.

It is an arithmetic number, because the mean of its divisors is an integer number (880475904).

Almost surely, 220623600564 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 20623600564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21131421696).

20623600564 is an abundant number, since it is smaller than the sum of its proper divisors (21639242828).

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

20623600564 is a wasteful number, since it uses less digits than its factorization.

20623600564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51412 (or 51410 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 20623600564 in words is "twenty billion, six hundred twenty-three million, six hundred thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 47 94 188 307 329 614 658 1228 1316 2149 4298 8596 14429 28858 51047 57716 101003 102094 202006 204188 357329 404012 714658 1429316 2399209 4798418 9596836 15671429 16794463 31342858 33588926 62685716 67177852 109700003 219400006 438800012 736557163 1473114326 2946228652 5155900141 10311800282 20623600564