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996378549120 = 273253111035059
BaseRepresentation
bin11100111111111001100…
…10100001101110000000
310112020211100000122210200
432133330302201232000
5112311040402032440
62041421402125200
7131662121633133
oct16377462415600
93466740018720
10996378549120
1135461a796289
121411311b0800
1372c5bc17ab6
14363214b221a
151adb8868c30
hexe7fcca1b80

996378549120 has 384 divisors, whose sum is σ = 3555530035200. Its totient is φ = 256846049280.

The previous prime is 996378549091. The next prime is 996378549137. The reversal of 996378549120 is 21945873699.

996378549120 is a `hidden beast` number, since 9 + 9 + 6 + 3 + 78 + 549 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196949151 + ... + 196954209.

It is an arithmetic number, because the mean of its divisors is an integer number (9259192800).

It is a 1-persistent number, because it is pandigital, but 2⋅996378549120 = 1992757098240 is not.

Almost surely, 2996378549120 is an apocalyptic number.

996378549120 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 996378549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777765017600).

996378549120 is an abundant number, since it is smaller than the sum of its proper divisors (2559151486080).

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

996378549120 is a wasteful number, since it uses less digits than its factorization.

996378549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6218 (or 6203 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 996378549120 in words is "nine hundred ninety-six billion, three hundred seventy-eight million, five hundred forty-nine thousand, one hundred twenty".