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6664170240 = 283357132163
BaseRepresentation
bin1100011010011011…
…10010101100000000
3122012102210220222000
412031031302230000
5102122011421430
63021140144000
7324100340520
oct61515625400
918172726860
106664170240
11290a828812
12135b998000
13822871800
144730db680
152900cde60
hex18d372b00

6664170240 has 864 divisors, whose sum is σ = 29445373440. Its totient is φ = 1397440512.

The previous prime is 6664170199. The next prime is 6664170241. The reversal of 6664170240 is 420714666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×66641702402 = 88822329975403315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6664170195 and 6664170204.

It is not an unprimeable number, because it can be changed into a prime (6664170241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40884399 + ... + 40884561.

Almost surely, 26664170240 is an apocalyptic number.

6664170240 is a gapful number since it is divisible by the number (60) 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 6664170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722686720).

6664170240 is an abundant number, since it is smaller than the sum of its proper divisors (22781203200).

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

6664170240 is a wasteful number, since it uses less digits than its factorization.

6664170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6664170240 is about 81634.3692325726. The cubic root of 6664170240 is about 1881.8371056889.

The spelling of 6664170240 in words is "six billion, six hundred sixty-four million, one hundred seventy thousand, two hundred forty".