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4557368064 = 28317334301
BaseRepresentation
bin1000011111010001…
…11110101100000000
3102202121111021200210
410033220332230000
533313141234224
62032120114120
7220635663234
oct41750765400
912677437623
104557368064
111a29574097
12a72305940
135782417c2
143133a05c4
151ba171429
hex10fa3eb00

4557368064 has 72 divisors (see below), whose sum is σ = 12199712112. Its totient is φ = 1510297600.

The previous prime is 4557368047. The next prime is 4557368089. The reversal of 4557368064 is 4608637554.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115714 + ... + 150014.

It is an arithmetic number, because the mean of its divisors is an integer number (169440446).

Almost surely, 24557368064 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 4557368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099856056).

4557368064 is an abundant number, since it is smaller than the sum of its proper divisors (7642344048).

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

4557368064 is a wasteful number, since it uses less digits than its factorization.

4557368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34493 (or 34479 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The square root of 4557368064 is about 67508.2814475380. The cubic root of 4557368064 is about 1657.9497676760.

The spelling of 4557368064 in words is "four billion, five hundred fifty-seven million, three hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 519 692 768 1038 1384 2076 2768 4152 5536 8304 11072 16608 22144 33216 34301 44288 66432 68602 102903 132864 137204 205806 274408 411612 548816 823224 1097632 1646448 2195264 3292896 4390528 5934073 6585792 8781056 11868146 13171584 17802219 23736292 26343168 35604438 47472584 71208876 94945168 142417752 189890336 284835504 379780672 569671008 759561344 1139342016 1519122688 2278684032 4557368064