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996216402168 = 23361323647883
BaseRepresentation
bin11100111111100110001…
…11111111000011111000
310112020102000220202000000
432133303013333003320
5112310222344332133
62041353330513000
7131655112462401
oct16376307770370
93466360822000
10996216402168
11354547207939
121410a6a35760
1372c34455060
1436307b449a8
151ada94da413
hexe7f31ff0f8

996216402168 has 448 divisors, whose sum is σ = 3155571095040. Its totient is φ = 292416106752.

The previous prime is 996216402113. The next prime is 996216402173. The reversal of 996216402168 is 861204612699.

996216402168 is a `hidden beast` number, since 9 + 9 + 6 + 216 + 402 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1128217455 + ... + 1128218337.

It is an arithmetic number, because the mean of its divisors is an integer number (7043685480).

Almost surely, 2996216402168 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 996216402168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577785547520).

996216402168 is an abundant number, since it is smaller than the sum of its proper divisors (2159354692872).

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

996216402168 is a wasteful number, since it uses less digits than its factorization.

996216402168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 996216402168 in words is "nine hundred ninety-six billion, two hundred sixteen million, four hundred two thousand, one hundred sixty-eight".