Search a number
-
+
20283499392 = 2731331131071
BaseRepresentation
bin10010111000111111…
…011010001110000000
31221100120222112022020
4102320333122032000
5313020033440032
613152413441440
71315433620512
oct227077321600
957316875266
1020283499392
118669563342
123b20aa0280
131bb3349060
14da5c01bb2
157daabab2c
hex4b8fda380

20283499392 has 128 divisors (see below), whose sum is σ = 59894661120. Its totient is φ = 6039705600.

The previous prime is 20283499387. The next prime is 20283499409. The reversal of 20283499392 is 29399438202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×202834993922 (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, 89217 + ... + 220287.

It is an arithmetic number, because the mean of its divisors is an integer number (467927040).

Almost surely, 220283499392 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 20283499392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29947330560).

20283499392 is an abundant number, since it is smaller than the sum of its proper divisors (39611161728).

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

20283499392 is a wasteful number, since it uses less digits than its factorization.

20283499392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131132 (or 131120 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 20283499392 in words is "twenty billion, two hundred eighty-three million, four hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3968 4836 4992 5952 6448 9672 11904 12896 19344 25792 38688 51584 77376 131071 154752 262142 393213 524284 786426 1048568 1572852 1703923 2097136 3145704 3407846 4063201 4194272 5111769 6291408 6815692 8126402 8388544 10223538 12189603 12582816 13631384 16252804 16777088 20447076 24379206 25165632 27262768 32505608 40894152 48758412 50331264 52821613 54525536 65011216 81788304 97516824 105643226 109051072 130022432 158464839 163576608 195033648 211286452 218102144 260044864 316929678 327153216 390067296 422572904 520089728 633859356 654306432 780134592 845145808 1267718712 1560269184 1690291616 2535437424 3380583232 5070874848 6761166464 10141749696 20283499392