Search a number
-
+
96009039840 = 25357219239341
BaseRepresentation
bin101100101101010010…
…1011010111111100000
3100011211000221120010110
41121122211122333200
53033111303233330
6112034514531320
76636123242100
oct1313245327740
9304730846113
1096009039840
113779866671a
1216735296b40
139090a3485c
14490adc1200
15276db9cdb0
hex165a95afe0

96009039840 has 576 divisors, whose sum is σ = 386462845440. Its totient is φ = 19883888640.

The previous prime is 96009039839. The next prime is 96009039851. The reversal of 96009039840 is 4893090069.

It is a happy number.

It is a super-3 number, since 3×960090398403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 96009039840.

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, 10273570 + ... + 10282910.

It is an arithmetic number, because the mean of its divisors is an integer number (670942440).

Almost surely, 296009039840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96009039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193231422720).

96009039840 is an abundant number, since it is smaller than the sum of its proper divisors (290453805600).

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

96009039840 is a wasteful number, since it uses less digits than its factorization.

96009039840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9415 (or 9400 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 96009039840 in words is "ninety-six billion, nine million, thirty-nine thousand, eight hundred forty".