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5312048768 = 27139473371
BaseRepresentation
bin1001111001001111…
…10110111010000000
3111201012120000222222
410330213312322000
541334341030033
62235035350212
7245431445435
oct47447667200
914635500888
105312048768
112286570954
121042bb2368
136686b7930
143856cdb8c
15211545598
hex13c9f6e80

5312048768 has 64 divisors (see below), whose sum is σ = 11412061920. Its totient is φ = 2448399360.

The previous prime is 5312048761. The next prime is 5312048771. The reversal of 5312048768 is 8678402135.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×53120487682 = 56435724227220635648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5312048761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1574123 + ... + 1577493.

Almost surely, 25312048768 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 5312048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706030960).

5312048768 is an abundant number, since it is smaller than the sum of its proper divisors (6100013152).

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

5312048768 is a wasteful number, since it uses less digits than its factorization.

5312048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 5312048768 is about 72883.8031938510. The cubic root of 5312048768 is about 1744.8336081605.

The spelling of 5312048768 in words is "five billion, three hundred twelve million, forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 947 1664 1894 3371 3788 6742 7576 12311 13484 15152 24622 26968 30304 43823 49244 53936 60608 87646 98488 107872 121216 175292 196976 215744 350584 393952 431488 701168 787904 1402336 1575808 2804672 3192337 5609344 6384674 12769348 25538696 41500381 51077392 83000762 102154784 166001524 204309568 332003048 408619136 664006096 1328012192 2656024384 5312048768