Search a number
-
+
94380755040 = 2533511213171943
BaseRepresentation
bin101011111100110001…
…0000000100001100000
3100000121120001010022000
41113321202000201200
53021242433130130
6111205151044000
76550562116065
oct1277142004140
9300546033260
1094380755040
1137032526200
121635bb10600
138b915a7720
1447d4a46c6c
1526c5c63260
hex15f9880860

94380755040 has 2304 divisors, whose sum is σ = 445950489600. Its totient is φ = 18393661440.

The previous prime is 94380755009. The next prime is 94380755041. The reversal of 94380755040 is 4055708349.

94380755040 is a `hidden beast` number, since 94 + 3 + 8 + 0 + 7 + 550 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94380755041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2194901259 + ... + 2194901301.

It is an arithmetic number, because the mean of its divisors is an integer number (193554900).

Almost surely, 294380755040 is an apocalyptic number.

94380755040 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 94380755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222975244800).

94380755040 is an abundant number, since it is smaller than the sum of its proper divisors (351569734560).

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

94380755040 is a wasteful number, since it uses less digits than its factorization.

94380755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 94380755040 in words is "ninety-four billion, three hundred eighty million, seven hundred fifty-five thousand, forty".