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4415421780 = 223857111923
BaseRepresentation
bin1000001110010110…
…11111110101010100
3102101201101200000000
410013023133311110
533020321444110
62010045451300
7214263315540
oct40713376524
912351350000
104415421780
111966432810
12a32870b30
13554a02613
142dc5b0a20
151ac9831c0
hex1072dfd54

4415421780 has 864 divisors, whose sum is σ = 19045877760. Its totient is φ = 831409920.

The previous prime is 4415421779. The next prime is 4415421811. The reversal of 4415421780 is 871245144.

It is a happy number.

4415421780 is a `hidden beast` number, since 4 + 41 + 542 + 1 + 78 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 191974849 + ... + 191974871.

It is an arithmetic number, because the mean of its divisors is an integer number (22043840).

Almost surely, 24415421780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4415421780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522938880).

4415421780 is an abundant number, since it is smaller than the sum of its proper divisors (14630455980).

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

4415421780 is a wasteful number, since it uses less digits than its factorization.

4415421780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4415421780 is about 66448.6401666731. The cubic root of 4415421780 is about 1640.5547622502.

The spelling of 4415421780 in words is "four billion, four hundred fifteen million, four hundred twenty-one thousand, seven hundred eighty".