Search a number
-
+
95049720000 = 2633541731167
BaseRepresentation
bin101100010000101100…
…1111010000011000000
3100002100011211001201000
41120201121322003000
53024130212020000
6111355405212000
76603264201204
oct1304131720300
9302304731630
1095049720000
11373460a8504
1216507b61000
138c6a06b991
144859822b04
152714855000
hex162167a0c0

95049720000 has 1120 divisors, whose sum is σ = 383925104640. Its totient is φ = 22947840000.

The previous prime is 95049719993. The next prime is 95049720001. The reversal of 95049720000 is 2794059.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (95049720001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 569159917 + ... + 569160083.

It is an arithmetic number, because the mean of its divisors is an integer number (342790272).

Almost surely, 295049720000 is an apocalyptic number.

95049720000 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 95049720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191962552320).

95049720000 is an abundant number, since it is smaller than the sum of its proper divisors (288875384640).

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

95049720000 is a wasteful number, since it uses less digits than its factorization.

95049720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 95049720000 in words is "ninety-five billion, forty-nine million, seven hundred twenty thousand".