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9034069536 = 2533192371337
BaseRepresentation
bin10000110100111100…
…01111011000100000
3212022121012021122000
420122132033120200
5122000210211121
64052235244000
7436605216102
oct103236173040
925277167560
109034069536
113916551178
1219015a9600
13b0c84b69b
14619b63572
1537d1ab526
hex21a78f620

9034069536 has 384 divisors, whose sum is σ = 29436825600. Its totient is φ = 2682408960.

The previous prime is 9034069529. The next prime is 9034069543. The reversal of 9034069536 is 6359604309.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9034069529) and next prime (9034069543).

It is a super-2 number, since 2×90340695362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9034069491 and 9034069500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26807160 + ... + 26807496.

It is an arithmetic number, because the mean of its divisors is an integer number (76658400).

Almost surely, 29034069536 is an apocalyptic number.

9034069536 is a gapful number since it is divisible by the number (96) 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 9034069536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718412800).

9034069536 is an abundant number, since it is smaller than the sum of its proper divisors (20402756064).

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

9034069536 is a wasteful number, since it uses less digits than its factorization.

9034069536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

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

The square root of 9034069536 is about 95047.7224135329. The cubic root of 9034069536 is about 2082.7052399121.

The spelling of 9034069536 in words is "nine billion, thirty-four million, sixty-nine thousand, five hundred thirty-six".