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4450745880 = 233457311631
BaseRepresentation
bin1000010010100100…
…01111111000011000
3102111011212022120000
410021102033320120
533103342332010
62013350533000
7215202500340
oct41122177030
912434768500
104450745880
11198436a289
12a42667160
1355c11ca59
14303167d20
151b0b0e7c0
hex10948fe18

4450745880 has 320 divisors, whose sum is σ = 17178670080. Its totient is φ = 1012435200.

The previous prime is 4450745863. The next prime is 4450745899. The reversal of 4450745880 is 885470544.

4450745880 is a `hidden beast` number, since 4 + 450 + 74 + 58 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 79 ways as a sum of consecutive naturals, for example, 7053165 + ... + 7053795.

It is an arithmetic number, because the mean of its divisors is an integer number (53683344).

Almost surely, 24450745880 is an apocalyptic number.

4450745880 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 4450745880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8589335040).

4450745880 is an abundant number, since it is smaller than the sum of its proper divisors (12727924200).

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

4450745880 is a wasteful number, since it uses less digits than its factorization.

4450745880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 4450745880 is about 66713.9106933479. The cubic root of 4450745880 is about 1644.9180497665.

The spelling of 4450745880 in words is "four billion, four hundred fifty million, seven hundred forty-five thousand, eight hundred eighty".