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3216066480 = 24325113113099
BaseRepresentation
bin1011111110110001…
…0100011110110000
322022010121002211100
42333230110132300
523041303111410
61251043244400
7142461054054
oct27754243660
98263532740
103216066480
111400427390
12759079700
133c33a5723
142271abc64
1513c5238c0
hexbfb147b0

3216066480 has 240 divisors, whose sum is σ = 12163507200. Its totient is φ = 754444800.

The previous prime is 3216066479. The next prime is 3216066493. The reversal of 3216066480 is 846606123.

3216066480 is a `hidden beast` number, since 3 + 2 + 1 + 6 + 0 + 6 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238971 + ... + 252069.

It is an arithmetic number, because the mean of its divisors is an integer number (50681280).

Almost surely, 23216066480 is an apocalyptic number.

3216066480 is a gapful number since it is divisible by the number (30) 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 3216066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081753600).

3216066480 is an abundant number, since it is smaller than the sum of its proper divisors (8947440720).

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

3216066480 is a wasteful number, since it uses less digits than its factorization.

3216066480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13160 (or 13151 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3216066480 is about 56710.3736542090. The cubic root of 3216066480 is about 1476.0747092420.

The spelling of 3216066480 in words is "three billion, two hundred sixteen million, sixty-six thousand, four hundred eighty".