Search a number
-
+
20358013327080 = 233511132449203249
BaseRepresentation
bin1001010000011111110000…
…01001110001011011101000
32200002012120221200220020120
410220033320021301123220
510132021202402431310
6111144201530123240
74200550356054522
oct450177011613350
980065527626216
1020358013327080
11653986a877650
122349629580520
13b489a20b0500
14505494066a12
1525485a668b70
hex1283f82716e8

20358013327080 has 384 divisors, whose sum is σ = 72306594000000. Its totient is φ = 4545470791680.

The previous prime is 20358013327079. The next prime is 20358013327117. The reversal of 20358013327080 is 8072331085302.

It is a super-2 number, since 2×203580133270802 (a number of 27 digits) contains 22 as substring.

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, 100061296 + ... + 100264544.

It is an arithmetic number, because the mean of its divisors is an integer number (188298421875).

Almost surely, 220358013327080 is an apocalyptic number.

20358013327080 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 20358013327080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36153297000000).

20358013327080 is an abundant number, since it is smaller than the sum of its proper divisors (51948580672920).

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

20358013327080 is a wasteful number, since it uses less digits than its factorization.

20358013327080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203749 (or 203732 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 20358013327080 in words is "twenty trillion, three hundred fifty-eight billion, thirteen million, three hundred twenty-seven thousand, eighty".