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4526383680 = 2634571319101
BaseRepresentation
bin1000011011100101…
…10010001001000000
3102200110012010010000
410031302302021000
533232223234210
62025052040000
7220111424610
oct41562621100
912613163100
104526383680
111a13031065
12a63a63000
135719b3750
1430d216a40
151b75a0ac0
hex10dcb2240

4526383680 has 1120 divisors, whose sum is σ = 21066312960. Its totient is φ = 895795200.

The previous prime is 4526383679. The next prime is 4526383717. The reversal of 4526383680 is 863836254.

It is a happy number.

4526383680 is a `hidden beast` number, since 4 + 5 + 2 + 638 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44815630 + ... + 44815730.

It is an arithmetic number, because the mean of its divisors is an integer number (18809208).

Almost surely, 24526383680 is an apocalyptic number.

4526383680 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 4526383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533156480).

4526383680 is an abundant number, since it is smaller than the sum of its proper divisors (16539929280).

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

4526383680 is a wasteful number, since it uses less digits than its factorization.

4526383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4526383680 is about 67278.4042616946. The cubic root of 4526383680 is about 1654.1838943556.

The spelling of 4526383680 in words is "four billion, five hundred twenty-six million, three hundred eighty-three thousand, six hundred eighty".