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4562768064 = 26326390359
BaseRepresentation
bin1000011111111011…
…00101000011000000
3102202222122122002210
410033331211003000
533321032034224
62032431542120
7221032613541
oct41775450300
912688578083
104562768064
111a316221a8
12a7408a940
135793b267a
14313da84c8
151ba88b429
hex10ff650c0

4562768064 has 56 divisors (see below), whose sum is σ = 12118360320. Its totient is φ = 1515122944.

The previous prime is 4562768059. The next prime is 4562768087. The reversal of 4562768064 is 4608672654.

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, 5317 + ... + 95675.

Almost surely, 24562768064 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 4562768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059180160).

4562768064 is an abundant number, since it is smaller than the sum of its proper divisors (7555592256).

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

4562768064 is a wasteful number, since it uses less digits than its factorization.

4562768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90637 (or 90627 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 4562768064 is about 67548.2647001387. The cubic root of 4562768064 is about 1658.6043410214.

The spelling of 4562768064 in words is "four billion, five hundred sixty-two million, seven hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 263 526 789 1052 1578 2104 3156 4208 6312 8416 12624 16832 25248 50496 90359 180718 271077 361436 542154 722872 1084308 1445744 2168616 2891488 4337232 5782976 8674464 17348928 23764417 47528834 71293251 95057668 142586502 190115336 285173004 380230672 570346008 760461344 1140692016 1520922688 2281384032 4562768064