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164046900326400 = 2123652713193141
BaseRepresentation
bin100101010011001100100101…
…001110000111000000000000
3210111211201201112122012000000
4211103030211032013000000
5133000221022440421100
61340522034452000000
746360666055401440
oct4523144516070000
9714751645565000
10164046900326400
11482a79995a4283
121649547b000000
13706c73031a290
142c71cab668120
1513e73829e0900
hex953325387000

164046900326400 has 8736 divisors, whose sum is σ = 835537735495680. Its totient is φ = 30958682112000.

The previous prime is 164046900326399. The next prime is 164046900326417. The reversal of 164046900326400 is 4623009640461.

164046900326400 is a `hidden beast` number, since 164 + 0 + 4 + 69 + 0 + 0 + 3 + 26 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (8736).

It is a super-2 number, since 2×1640469003264002 (a number of 29 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 4001143910380 + ... + 4001143910420.

Almost surely, 2164046900326400 is an apocalyptic number.

164046900326400 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 164046900326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417768867747840).

164046900326400 is an abundant number, since it is smaller than the sum of its proper divisors (671490835169280).

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

164046900326400 is a wasteful number, since it uses less digits than its factorization.

164046900326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

Adding to 164046900326400 its reverse (4623009640461), we get a palindrome (168669909966861).

The spelling of 164046900326400 in words is "one hundred sixty-four trillion, forty-six billion, nine hundred million, three hundred twenty-six thousand, four hundred".