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4465020560 = 2457111324289
BaseRepresentation
bin1000010100010001…
…01100111010010000
3102112011201112201212
410022020230322100
533121021124220
62015020515252
7215435022440
oct41210547220
912464645655
104465020560
11199142a040
12a473abb28
1356207a200
14305002120
151b1ece0c5
hex10a22ce90

4465020560 has 240 divisors, whose sum is σ = 14018209920. Its totient is φ = 1284341760.

The previous prime is 4465020529. The next prime is 4465020611. The reversal of 4465020560 is 650205644.

It is a congruent number.

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, 1038896 + ... + 1043184.

It is an arithmetic number, because the mean of its divisors is an integer number (58409208).

Almost surely, 24465020560 is an apocalyptic number.

4465020560 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 4465020560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009104960).

4465020560 is an abundant number, since it is smaller than the sum of its proper divisors (9553189360).

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

4465020560 is a wasteful number, since it uses less digits than its factorization.

4465020560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 4465020560 is about 66820.8093336200. The cubic root of 4465020560 is about 1646.6747306469.

It can be divided in two parts, 4 and 465020560, that added together give a palindrome (465020564).

The spelling of 4465020560 in words is "four billion, four hundred sixty-five million, twenty thousand, five hundred sixty".