Search a number
-
+
9494314221960 = 233351723374114821
BaseRepresentation
bin1000101000101001000100…
…1110100000000110001000
31020121122111002020002102000
42022022101032200012020
52221023323420100320
632105343331511000
71666640646221361
oct212122116400610
936548432202360
109494314221960
113030574953407
12109408a758460
1353b40507bc59
1424b754b32b68
15116e80094c90
hex8a2913a0188

9494314221960 has 1024 divisors, whose sum is σ = 36789674342400. Its totient is φ = 2163444940800.

The previous prime is 9494314221949. The next prime is 9494314221961. The reversal of 9494314221960 is 691224134949.

9494314221960 is a `hidden beast` number, since 9 + 49 + 4 + 314 + 221 + 9 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9494314221897 and 9494314221906.

It is not an unprimeable number, because it can be changed into a prime (9494314221961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 640591350 + ... + 640606170.

It is an arithmetic number, because the mean of its divisors is an integer number (35927416350).

Almost surely, 29494314221960 is an apocalyptic number.

9494314221960 is a gapful number since it is divisible by the number (90) 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 9494314221960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18394837171200).

9494314221960 is an abundant number, since it is smaller than the sum of its proper divisors (27295360120440).

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

9494314221960 is a wasteful number, since it uses less digits than its factorization.

9494314221960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14959 (or 14949 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 9494314221960 in words is "nine trillion, four hundred ninety-four billion, three hundred fourteen million, two hundred twenty-one thousand, nine hundred sixty".