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4652116560 = 243257131937101
BaseRepresentation
bin1000101010100100…
…11010101001010000
3110000012210000012100
410111102122221100
534011420212220
62045343000400
7223166224020
oct42522325120
913005700170
104652116560
111a77aa9033
12a99b99100
13591a66bc0
14321bc5a80
151c3639d90
hex11549aa50

4652116560 has 960 divisors, whose sum is σ = 20993656320. Its totient is φ = 895795200.

The previous prime is 4652116559. The next prime is 4652116607. The reversal of 4652116560 is 656112564.

4652116560 is a `hidden beast` number, since 4 + 65 + 21 + 16 + 560 = 666.

It is a super-3 number, since 3×46521165603 (a number of 30 digits) contains 333 as substring.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46060510 + ... + 46060610.

It is an arithmetic number, because the mean of its divisors is an integer number (21868392).

Almost surely, 24652116560 is an apocalyptic number.

4652116560 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 4652116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10496828160).

4652116560 is an abundant number, since it is smaller than the sum of its proper divisors (16341539760).

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

4652116560 is a wasteful number, since it uses less digits than its factorization.

4652116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4652116560 is about 68206.4260902153. The cubic root of 4652116560 is about 1669.3607411423.

It can be divided in two parts, 465 and 2116560, that added together give a square (2117025 = 14552).

The spelling of 4652116560 in words is "four billion, six hundred fifty-two million, one hundred sixteen thousand, five hundred sixty".