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5117148064 = 25779728663
BaseRepresentation
bin1001100010000000…
…10111101110100000
3111012121211001111101
410301000113232200
540434442214224
62203434124144
7240544020010
oct46100275640
914177731441
105117148064
112196551096
12ba9880654
136371c7682
14367877c40
151ee397044
hex131017ba0

5117148064 has 48 divisors (see below), whose sum is σ = 11528431488. Its totient is φ = 2190235392.

The previous prime is 5117148061. The next prime is 5117148073. The reversal of 5117148064 is 4608417115.

It is not an unprimeable number, because it can be changed into a prime (5117148061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 164197 + ... + 192859.

It is an arithmetic number, because the mean of its divisors is an integer number (240175656).

Almost surely, 25117148064 is an apocalyptic number.

It is an amenable number.

5117148064 is an abundant number, since it is smaller than the sum of its proper divisors (6411283424).

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

5117148064 is a wasteful number, since it uses less digits than its factorization.

5117148064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29477 (or 29469 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 5117148064 is about 71534.2439954460. The cubic root of 5117148064 is about 1723.2276764507.

It can be divided in two parts, 51171 and 48064, that added together give a triangular number (99235 = T445).

The spelling of 5117148064 in words is "five billion, one hundred seventeen million, one hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 797 1594 3188 5579 6376 11158 12752 22316 25504 28663 44632 57326 89264 114652 178528 200641 229304 401282 458608 802564 917216 1605128 3210256 6420512 22844411 45688822 91377644 159910877 182755288 319821754 365510576 639643508 731021152 1279287016 2558574032 5117148064