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5134340064 = 253769111057
BaseRepresentation
bin1001100100000011…
…11100111111100000
3111020211011111111010
410302001330333200
541003342340224
62205250420520
7241143112320
oct46201747740
914224144433
105134340064
1121a5223757
12bb3591740
1363a936959
14369c71280
15200b40e29
hex13207cfe0

5134340064 has 96 divisors (see below), whose sum is σ = 15426706176. Its totient is φ = 1464698880.

The previous prime is 5134340059. The next prime is 5134340129. The reversal of 5134340064 is 4600434315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51343400642 = 52722895785591048192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458824 + ... + 469880.

It is an arithmetic number, because the mean of its divisors is an integer number (160694856).

Almost surely, 25134340064 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 5134340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713353088).

5134340064 is an abundant number, since it is smaller than the sum of its proper divisors (10292366112).

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

5134340064 is a wasteful number, since it uses less digits than its factorization.

5134340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11768 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 5134340064 is about 71654.3094586781. The cubic root of 5134340064 is about 1725.1553526963.

Adding to 5134340064 its reverse (4600434315), we get a palindrome (9734774379).

The spelling of 5134340064 in words is "five billion, one hundred thirty-four million, three hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 691 1382 2073 2764 4146 4837 5528 8292 9674 11056 11057 14511 16584 19348 22112 22114 29022 33168 33171 38696 44228 58044 66336 66342 77392 77399 88456 116088 132684 154784 154798 176912 232176 232197 265368 309596 353824 464352 464394 530736 619192 928788 1061472 1238384 1857576 2476768 3715152 7430304 7640387 15280774 22921161 30561548 45842322 53482709 61123096 91684644 106965418 122246192 160448127 183369288 213930836 244492384 320896254 366738576 427861672 641792508 733477152 855723344 1283585016 1711446688 2567170032 5134340064