Search a number
-
+
40693950360 = 233257151229467
BaseRepresentation
bin100101111001100011…
…000110011110011000
310220001000211212102200
4211321203012132120
51131320122402420
630410004330200
72640301604460
oct457143063630
9126030755380
1040693950360
1116292746238
127a783a3960
133ab6a8418b
141d8080cba0
1510d28b1b90
hex9798c6798

40693950360 has 384 divisors, whose sum is σ = 153141580800. Its totient is φ = 9179827200.

The previous prime is 40693950257. The next prime is 40693950403. The reversal of 40693950360 is 6305939604.

It is a happy number.

40693950360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87138847 + ... + 87139313.

It is an arithmetic number, because the mean of its divisors is an integer number (398806200).

Almost surely, 240693950360 is an apocalyptic number.

40693950360 is a gapful number since it is divisible by the number (40) 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 40693950360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76570790400).

40693950360 is an abundant number, since it is smaller than the sum of its proper divisors (112447630440).

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

40693950360 is a wasteful number, since it uses less digits than its factorization.

40693950360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 40693950360 in words is "forty billion, six hundred ninety-three million, nine hundred fifty thousand, three hundred sixty".