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96989700600 = 2332521310738737
BaseRepresentation
bin101101001010100001…
…0010110000111111000
3100021100101020021210100
41122111002112013320
53042113330404400
6112320105515400
710002331565262
oct1322502260770
9307311207710
1096989700600
1138151180661
12169697a2b60
1391b8c602b0
1449a1336b32
1527c9d0e100
hex16950961f8

96989700600 has 288 divisors, whose sum is σ = 354066869520. Its totient is φ = 23650652160.

The previous prime is 96989700593. The next prime is 96989700601. The reversal of 96989700600 is 600798969.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96989700601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2484432 + ... + 2523168.

Almost surely, 296989700600 is an apocalyptic number.

96989700600 is a gapful number since it is divisible by the number (90) 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 96989700600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177033434760).

96989700600 is an abundant number, since it is smaller than the sum of its proper divisors (257077168920).

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

96989700600 is a wasteful number, since it uses less digits than its factorization.

96989700600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38879 (or 38867 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 96989700600 in words is "ninety-six billion, nine hundred eighty-nine million, seven hundred thousand, six hundred".