Search a number
-
+
96673824000 = 2834531319151
BaseRepresentation
bin101101000001000110…
…1010111110100000000
3100020112100212002120000
41122002031113310000
53040441444332000
6112224503320000
76661444642245
oct1320215276400
9306470762500
1096673824000
1137aa9942916
121689ba50000
139168693b70
1449713cd5cc
1527ac216000
hex1682357d00

96673824000 has 1440 divisors, whose sum is σ = 410518268160. Its totient is φ = 22394880000.

The previous prime is 96673823999. The next prime is 96673824029. The reversal of 96673824000 is 42837669.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 640223925 + ... + 640224075.

Almost surely, 296673824000 is an apocalyptic number.

96673824000 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 96673824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205259134080).

96673824000 is an abundant number, since it is smaller than the sum of its proper divisors (313844444160).

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

96673824000 is a wasteful number, since it uses less digits than its factorization.

96673824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 96673824000 in words is "ninety-six billion, six hundred seventy-three million, eight hundred twenty-four thousand".