Search a number
-
+
69452538480 = 243351317292173
BaseRepresentation
bin100000010101110110…
…0011010001001110000
320122021021012111212000
41000223230122021300
52114214322212410
651523412534000
75006045556633
oct1005354321160
9218237174760
1069452538480
1127500169136
1211563621300
13671abb5720
14350c027c1a
151c1751edc0
hex102bb1a270

69452538480 has 960 divisors, whose sum is σ = 284145563520. Its totient is φ = 15445721088.

The previous prime is 69452538443. The next prime is 69452538481. The reversal of 69452538480 is 8483525496.

69452538480 is a `hidden beast` number, since 6 + 9 + 4 + 525 + 38 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69452538481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401459674 + ... + 401459846.

It is an arithmetic number, because the mean of its divisors is an integer number (295984962).

Almost surely, 269452538480 is an apocalyptic number.

69452538480 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 69452538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142072781760).

69452538480 is an abundant number, since it is smaller than the sum of its proper divisors (214693025040).

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

69452538480 is a wasteful number, since it uses less digits than its factorization.

69452538480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 69452538480 in words is "sixty-nine billion, four hundred fifty-two million, five hundred thirty-eight thousand, four hundred eighty".