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1664043226560 = 26325112131723141
BaseRepresentation
bin11000001101110000101…
…101001001010111000000
312220002012000220110212100
4120031300231021113000
5204230430031222220
63312241221230400
7231136354022211
oct30156055112700
95802160813770
101664043226560
11591798024500
1222a604862400
13c0bc322ac80
145a77c147408
152d443c99d90
hex18370b495c0

1664043226560 has 3024 divisors, whose sum is σ = 7610543006976. Its totient is φ = 330891264000.

The previous prime is 1664043226537. The next prime is 1664043226567. The reversal of 1664043226560 is 656223404661.

It is a happy number.

1664043226560 is a `hidden beast` number, since 1 + 6 + 6 + 40 + 43 + 2 + 2 + 6 + 560 = 666.

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 (1664043226567) 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 431 ways as a sum of consecutive naturals, for example, 40586420140 + ... + 40586420180.

Almost surely, 21664043226560 is an apocalyptic number.

1664043226560 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 1664043226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805271503488).

1664043226560 is an abundant number, since it is smaller than the sum of its proper divisors (5946499780416).

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

1664043226560 is a wasteful number, since it uses less digits than its factorization.

1664043226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

It can be divided in two parts, 166404 and 3226560, that added together give a square (3392964 = 18422).

The spelling of 1664043226560 in words is "one trillion, six hundred sixty-four billion, forty-three million, two hundred twenty-six thousand, five hundred sixty".