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20335442560 = 27551016229
BaseRepresentation
bin10010111100000101…
…100011101010000000
31221111012201111221021
4102330011203222000
5313121333130220
613201511035224
71316634260356
oct227405435200
957435644837
1020335442560
118695910a84
123b3636bb14
131bc1034a64
14daca837d6
157e042b4aa
hex4bc163a80

20335442560 has 64 divisors (see below), whose sum is σ = 48631753800. Its totient is φ = 8131276800.

The previous prime is 20335442509. The next prime is 20335442581. The reversal of 20335442560 is 6524453302.

It can be written as a sum of positive squares in 4 ways, for example, as 8985523264 + 11349919296 = 94792^2 + 106536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×203354425602 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3261526 + ... + 3267754.

Almost surely, 220335442560 is an apocalyptic number.

20335442560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20335442560 is an abundant number, since it is smaller than the sum of its proper divisors (28296311240).

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

20335442560 is an equidigital number, since it uses as much as digits as its factorization.

20335442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11349 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 20335442560 its reverse (6524453302), we get a palindrome (26859895862).

The spelling of 20335442560 in words is "twenty billion, three hundred thirty-five million, four hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 5101 6229 10202 12458 20404 24916 25505 31145 40808 49832 51010 62290 81616 99664 102020 124580 163232 199328 204040 249160 326464 398656 408080 498320 652928 797312 816160 996640 1632320 1993280 3264640 3986560 31774129 63548258 127096516 158870645 254193032 317741290 508386064 635482580 1016772128 1270965160 2033544256 2541930320 4067088512 5083860640 10167721280 20335442560