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5758134464 = 261741129083
BaseRepresentation
bin1010101110011011…
…00010100011000000
3112212021221112112102
411113031202203000
543243040300324
62351212445532
7262456223015
oct52715424300
915767845472
105758134464
112495353715
1211484798a8
13709c43a74
143c8a4d70c
1523a7addae
hex1573628c0

5758134464 has 56 divisors (see below), whose sum is σ = 12393613008. Its totient is φ = 2643599360.

The previous prime is 5758134461. The next prime is 5758134511. The reversal of 5758134464 is 4644318575.

It is a super-4 number, since 4×57581344644 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5758134461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19934 + ... + 109149.

It is an arithmetic number, because the mean of its divisors is an integer number (221314518).

Almost surely, 25758134464 is an apocalyptic number.

It is an amenable number.

5758134464 is an abundant number, since it is smaller than the sum of its proper divisors (6635478544).

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

5758134464 is a wasteful number, since it uses less digits than its factorization.

5758134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129153 (or 129143 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 47.

The square root of 5758134464 is about 75882.3725512059. The cubic root of 5758134464 is about 1792.3683540717.

The spelling of 5758134464 in words is "five billion, seven hundred fifty-eight million, one hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 1088 1312 1394 2624 2788 5576 11152 22304 44608 129083 258166 516332 1032664 2065328 2194411 4130656 4388822 5292403 8261312 8777644 10584806 17555288 21169612 35110576 42339224 70221152 84678448 89970851 140442304 169356896 179941702 338713792 359883404 719766808 1439533616 2879067232 5758134464