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4672212480 = 293251319821
BaseRepresentation
bin1000101100111110…
…00100111000000000
3110001121120222121200
410112133010320000
534032041244410
62051341421200
7223532102505
oct42637047000
913047528550
104672212480
111a88384431
12aa486a800
13595c81b90
143247374ac
151c52a93c0
hex1167c4e00

4672212480 has 480 divisors, whose sum is σ = 18365387040. Its totient is φ = 1088225280.

The previous prime is 4672212473. The next prime is 4672212487. The reversal of 4672212480 is 842122764.

It is an interprime number because it is at equal distance from previous prime (4672212473) and next prime (4672212487).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672212487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5690470 + ... + 5691290.

It is an arithmetic number, because the mean of its divisors is an integer number (38261223).

Almost surely, 24672212480 is an apocalyptic number.

4672212480 is a gapful number since it is divisible by the number (40) 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 4672212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9182693520).

4672212480 is an abundant number, since it is smaller than the sum of its proper divisors (13693174560).

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

4672212480 is a wasteful number, since it uses less digits than its factorization.

4672212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4672212480 is about 68353.5842513032. The cubic root of 4672212480 is about 1671.7610213759.

The spelling of 4672212480 in words is "four billion, six hundred seventy-two million, two hundred twelve thousand, four hundred eighty".