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9890766096 = 2431273494649
BaseRepresentation
bin10010011011000100…
…10001110100010000
3221112022012222101020
421031202101310100
5130224014003341
64313241235440
7500050060521
oct111542216420
927468188336
109890766096
114216096a62
121b00492b80
13c18192a23
1469b84a848
153cd4d2566
hex24d891d10

9890766096 has 80 divisors (see below), whose sum is σ = 25831680000. Its totient is φ = 3260888064.

The previous prime is 9890766089. The next prime is 9890766097. The reversal of 9890766096 is 6906670989.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9890766097) 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 15 ways as a sum of consecutive naturals, for example, 2125180 + ... + 2129828.

It is an arithmetic number, because the mean of its divisors is an integer number (322896000).

Almost surely, 29890766096 is an apocalyptic number.

It is an amenable number.

9890766096 is an abundant number, since it is smaller than the sum of its proper divisors (15940913904).

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

9890766096 is a wasteful number, since it uses less digits than its factorization.

9890766096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The square root of 9890766096 is about 99452.3307720840. The cubic root of 9890766096 is about 2146.5613752265.

The spelling of 9890766096 in words is "nine billion, eight hundred ninety million, seven hundred sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 349 381 508 698 762 1016 1047 1396 1524 2032 2094 2792 3048 4188 4649 5584 6096 8376 9298 13947 16752 18596 27894 37192 44323 55788 74384 88646 111576 132969 177292 223152 265938 354584 531876 590423 709168 1063752 1180846 1622501 1771269 2127504 2361692 3245002 3542538 4723384 4867503 6490004 7085076 9446768 9735006 12980008 14170152 19470012 25960016 28340304 38940024 77880048 206057627 412115254 618172881 824230508 1236345762 1648461016 2472691524 3296922032 4945383048 9890766096