Search a number
-
+
94995996480 = 2634571124327
BaseRepresentation
bin101100001111000110…
…0111101111101000000
3100002012102201121220000
41120132030331331000
53024022433341410
6111350205520000
76602042434650
oct1303614757500
9302172647800
1094995996480
1137318844200
12164b1b73000
138c5bbab808
14485263a360
15270ec91dc0
hex161e33df40

94995996480 has 840 divisors, whose sum is σ = 424589472384. Its totient is φ = 19734865920.

The previous prime is 94995996479. The next prime is 94995996497. The reversal of 94995996480 is 8469959949.

94995996480 is a `hidden beast` number, since 9 + 4 + 9 + 9 + 59 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 = 94995996399 and 94995996408.

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 119 ways as a sum of consecutive naturals, for example, 21952077 + ... + 21956403.

Almost surely, 294995996480 is an apocalyptic number.

94995996480 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 94995996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212294736192).

94995996480 is an abundant number, since it is smaller than the sum of its proper divisors (329593475904).

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

94995996480 is a wasteful number, since it uses less digits than its factorization.

94995996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 94995996480 in words is "ninety-four billion, nine hundred ninety-five million, nine hundred ninety-six thousand, four hundred eighty".