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1606941806400 = 263352747113063
BaseRepresentation
bin10111011000100101001…
…100100000111101000000
312200121210112111210011000
4113120211030200331000
5202312004100301100
63230115135452000
7224045341661460
oct27304514407500
95617715453130
101606941806400
1156a555836377
1221b529687000
13b86c31652a8
1457ac2619ba0
152bc00c55900
hex17625320f40

1606941806400 has 672 divisors, whose sum is σ = 6837242388480. Its totient is φ = 359482890240.

The previous prime is 1606941806363. The next prime is 1606941806401. The reversal of 1606941806400 is 46081496061.

1606941806400 is a `hidden beast` number, since 1 + 6 + 0 + 69 + 4 + 180 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606941806401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14156269 + ... + 14269331.

It is an arithmetic number, because the mean of its divisors is an integer number (10174467840).

Almost surely, 21606941806400 is an apocalyptic number.

1606941806400 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 1606941806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418621194240).

1606941806400 is an abundant number, since it is smaller than the sum of its proper divisors (5230300582080).

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

1606941806400 is a wasteful number, since it uses less digits than its factorization.

1606941806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113148 (or 113127 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1606941806400 in words is "one trillion, six hundred six billion, nine hundred forty-one million, eight hundred six thousand, four hundred".