Search a number
-
+
22803385999680 = 263351113171085677
BaseRepresentation
bin1010010111101010100111…
…01110001110000101000000
32222201222112011210200222000
411023311103232032011000
510442102313303442210
6120255421513144000
74542330106606116
oct513652356160500
988658464720860
1022803385999680
1172a1952a06260
1226835479bb000
13c95472157c80
1458b992a37ab6
1529827d544ac0
hex14bd53b8e140

22803385999680 has 896 divisors, whose sum is σ = 100068591490560. Its totient is φ = 4802683207680.

The previous prime is 22803385999679. The next prime is 22803385999711. The reversal of 22803385999680 is 8699958330822.

22803385999680 is a `hidden beast` number, since 2 + 2 + 80 + 3 + 385 + 9 + 9 + 96 + 80 = 666.

22803385999680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22803385999599 and 22803385999608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20461002 + ... + 21546678.

It is an arithmetic number, because the mean of its divisors is an integer number (111683695860).

Almost surely, 222803385999680 is an apocalyptic number.

22803385999680 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 22803385999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50034295745280).

22803385999680 is an abundant number, since it is smaller than the sum of its proper divisors (77265205490880).

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

22803385999680 is a wasteful number, since it uses less digits than its factorization.

22803385999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085744 (or 1085728 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 22803385999680 in words is "twenty-two trillion, eight hundred three billion, three hundred eighty-five million, nine hundred ninety-nine thousand, six hundred eighty".