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96380041600 = 2752316431511
BaseRepresentation
bin101100111000010110…
…0101011100110000000
3100012202220001101212101
41121300230223212000
53034341242312400
6112135410440144
76651246556633
oct1316054534600
9305686041771
1096380041600
1137969025847
1216819593054
13911c86211b
144944397c1a
15279153456a
hex1670b2b980

96380041600 has 192 divisors, whose sum is σ = 246314234880. Its totient is φ = 37225728000.

The previous prime is 96380041579. The next prime is 96380041613. The reversal of 96380041600 is 614008369.

It is a super-2 number, since 2×963800416002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96380041600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63784845 + ... + 63786355.

It is an arithmetic number, because the mean of its divisors is an integer number (1282886640).

Almost surely, 296380041600 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 96380041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123157117440).

96380041600 is an abundant number, since it is smaller than the sum of its proper divisors (149934193280).

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

96380041600 is a wasteful number, since it uses less digits than its factorization.

96380041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

Adding to 96380041600 its reverse (614008369), we get a palindrome (96994049969).

The spelling of 96380041600 in words is "ninety-six billion, three hundred eighty million, forty-one thousand, six hundred".