Search a number
-
+
20006027421120 = 2633513241334177
BaseRepresentation
bin1001000110010000001000…
…01010000110010111000000
32121211120001110010020001000
410203020010022012113000
510110234321004433440
6110314350410412000
74133250003165126
oct443100412062700
977746043106030
1020006027421120
116413565a17804
1222b1376131000
13b21738c60a00
144d2422967916
1524a6090d8730
hex1232042865c0

20006027421120 has 672 divisors, whose sum is σ = 78287639451840. Its totient is φ = 4804434984960.

The previous prime is 20006027421113. The next prime is 20006027421187. The reversal of 20006027421120 is 2112472060002.

20006027421120 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 602 + 7 + 42 + 1 + 12 + 0 = 666.

It is a super-2 number, since 2×200060274211202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59699472 + ... + 60033648.

It is an arithmetic number, because the mean of its divisors is an integer number (116499463470).

Almost surely, 220006027421120 is an apocalyptic number.

20006027421120 is a gapful number since it is divisible by the number (20) 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 20006027421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39143819725920).

20006027421120 is an abundant number, since it is smaller than the sum of its proper divisors (58281612030720).

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

20006027421120 is a wasteful number, since it uses less digits than its factorization.

20006027421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334270 (or 334241 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 20006027421120 its reverse (2112472060002), we get a palindrome (22118499481122).

The spelling of 20006027421120 in words is "twenty trillion, six billion, twenty-seven million, four hundred twenty-one thousand, one hundred twenty".