Search a number
-
+
69113509920 = 253257132291399
BaseRepresentation
bin100000001011101111…
…1000111100000100000
320121101122021002002200
41000113133013200200
52113021024304140
651430022213200
74664461066320
oct1002737074040
9217348232080
1069113509920
1127346857a44
1211489b84200
1366958a1300
1434b8db5280
151be78a2030
hex10177c7820

69113509920 has 864 divisors, whose sum is σ = 302152032000. Its totient is φ = 14069293056.

The previous prime is 69113509903. The next prime is 69113509921. The reversal of 69113509920 is 2990531196.

It is a happy number.

69113509920 is a `hidden beast` number, since 6 + 9 + 113 + 509 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (69113509921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49401381 + ... + 49402779.

It is an arithmetic number, because the mean of its divisors is an integer number (349713000).

Almost surely, 269113509920 is an apocalyptic number.

69113509920 is a gapful number since it is divisible by the number (60) 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 69113509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151076016000).

69113509920 is an abundant number, since it is smaller than the sum of its proper divisors (233038522080).

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

69113509920 is a wasteful number, since it uses less digits than its factorization.

69113509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 69113509920 in words is "sixty-nine billion, one hundred thirteen million, five hundred nine thousand, nine hundred twenty".