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10328575488 = 293711217467
BaseRepresentation
bin10011001111010000…
…11000111000000000
3222122211000222221220
421213220120320000
5132123103403423
64424521115040
7513644304660
oct114750307000
928584028856
1010328575488
114420236700
122003028a80
13c87ab1a3a
146dda541a0
15406b639e3
hex267a18e00

10328575488 has 480 divisors, whose sum is σ = 36677152512. Its totient is φ = 2519531520.

The previous prime is 10328575463. The next prime is 10328575489. The reversal of 10328575488 is 88457582301.

It is a super-2 number, since 2×103285754882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 10328575488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10328575489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22116631 + ... + 22117097.

Almost surely, 210328575488 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 10328575488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338576256).

10328575488 is an abundant number, since it is smaller than the sum of its proper divisors (26348577024).

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

10328575488 is a wasteful number, since it uses less digits than its factorization.

10328575488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 10328575488 in words is "ten billion, three hundred twenty-eight million, five hundred seventy-five thousand, four hundred eighty-eight".