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1996923366900 = 2234527211243967
BaseRepresentation
bin11101000011110001111…
…010000110110111110100
321001220102000121200210000
4131003301322012313310
5230204144340220100
64125212434031300
7264162423361200
oct35036172066764
97056360550700
101996923366900
116aa9881a9900
12283025718530
1311640302b107
146c91a019b00
1536e27d4c900
hex1d0f1e86df4

1996923366900 has 1620 divisors, whose sum is σ = 8478121469664. Its totient is φ = 404876102400.

The previous prime is 1996923366869. The next prime is 1996923366913. The reversal of 1996923366900 is 96633296991.

1996923366900 is a `hidden beast` number, since 19 + 96 + 92 + 3 + 366 + 90 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×19969233669002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 2065070217 + ... + 2065071183.

Almost surely, 21996923366900 is an apocalyptic number.

1996923366900 is a gapful number since it is divisible by the number (10) 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 1996923366900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239060734832).

1996923366900 is an abundant number, since it is smaller than the sum of its proper divisors (6481198102764).

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

1996923366900 is a wasteful number, since it uses less digits than its factorization.

1996923366900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 63.

The spelling of 1996923366900 in words is "one trillion, nine hundred ninety-six billion, nine hundred twenty-three million, three hundred sixty-six thousand, nine hundred".