Search a number
-
+
20341566504 = 2333715438719
BaseRepresentation
bin10010111100011100…
…111010110000101000
31221111122020122102000
4102330130322300220
5313124420112004
613202250211000
71320040314420
oct227434726050
957448218360
1020341566504
118699313a96
123b38423a60
131bc239a2ac
14dad7d9480
157e0c3ac39
hex4bc73ac28

20341566504 has 128 divisors (see below), whose sum is σ = 64625664000. Its totient is φ = 5807443392.

The previous prime is 20341566499. The next prime is 20341566521. The reversal of 20341566504 is 40566514302.

20341566504 is a `hidden beast` number, since 2 + 0 + 3 + 41 + 566 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 2328657 + ... + 2337375.

It is an arithmetic number, because the mean of its divisors is an integer number (504888000).

Almost surely, 220341566504 is an apocalyptic number.

20341566504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20341566504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32312832000).

20341566504 is an abundant number, since it is smaller than the sum of its proper divisors (44284097496).

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

20341566504 is a wasteful number, since it uses less digits than its factorization.

20341566504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10284 (or 10274 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20341566504 in words is "twenty billion, three hundred forty-one million, five hundred sixty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1543 3086 4629 6172 8719 9258 10801 12344 13887 17438 18516 21602 26157 27774 32403 34876 37032 41661 43204 52314 55548 61033 64806 69752 78471 83322 86408 97209 104628 111096 122066 129612 156942 166644 183099 194418 209256 235413 244132 259224 291627 313884 333288 366198 388836 470826 488264 549297 583254 627768 732396 777672 941652 1098594 1166508 1464792 1647891 1883304 2197188 2333016 3295782 4394376 6591564 13183128 13453417 26906834 40360251 53813668 80720502 94173919 107627336 121080753 161441004 188347838 242161506 282521757 322882008 363242259 376695676 484323012 565043514 726484518 753391352 847565271 968646024 1130087028 1452969036 1695130542 2260174056 2542695813 2905938072 3390261084 5085391626 6780522168 10170783252 20341566504