Search a number
-
+
20722704540000 = 2535417219312029
BaseRepresentation
bin1001011011000111000010…
…11100010110000101100000
32201101001220220120001001120
410231203201130112011200
510204010044330240000
6112023513512332240
74236110636164401
oct455434134260540
981331826501046
1020722704540000
11666a4a4522681
1223a82479a4080
13b741b1541618
14518dacadd9a8
1525e0a23396a0
hex12d8e1716160

20722704540000 has 1440 divisors, whose sum is σ = 78499332172800. Its totient is φ = 4765962240000.

The previous prime is 20722704539989. The next prime is 20722704540011. The reversal of 20722704540000 is 4540722702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20722704539989) and next prime (20722704540011).

It is a super-2 number, since 2×207227045400002 (a number of 27 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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10213258986 + ... + 10213261014.

It is an arithmetic number, because the mean of its divisors is an integer number (54513425120).

Almost surely, 220722704540000 is an apocalyptic number.

20722704540000 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 20722704540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39249666086400).

20722704540000 is an abundant number, since it is smaller than the sum of its proper divisors (57776627632800).

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

20722704540000 is a wasteful number, since it uses less digits than its factorization.

20722704540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The spelling of 20722704540000 in words is "twenty trillion, seven hundred twenty-two billion, seven hundred four million, five hundred forty thousand".