Search a number
-
+
94454680320 = 28325711138191
BaseRepresentation
bin101011111110111110…
…0000000101100000000
3100000210201010220201100
41113331330000230000
53021420344232240
6111220351334400
76552450351510
oct1277574005400
9300721126640
1094454680320
1137070228380
1216380821400
138ba39bbab0
1448007ab840
1526cc4b6e30
hex15fdf00b00

94454680320 has 864 divisors, whose sum is σ = 438838493184. Its totient is φ = 18114969600.

The previous prime is 94454680223. The next prime is 94454680343. The reversal of 94454680320 is 2308645449.

94454680320 is a `hidden beast` number, since 9 + 4 + 4 + 546 + 80 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11527425 + ... + 11535615.

Almost surely, 294454680320 is an apocalyptic number.

94454680320 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 94454680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219419246592).

94454680320 is an abundant number, since it is smaller than the sum of its proper divisors (344383812864).

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

94454680320 is a wasteful number, since it uses less digits than its factorization.

94454680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 94454680320 in words is "ninety-four billion, four hundred fifty-four million, six hundred eighty thousand, three hundred twenty".