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5535125268 = 22317313072851
BaseRepresentation
bin1010010011110101…
…10100111100010100
3112021202022111102120
411021322310330110
542313443002033
62313124535540
7254110534311
oct51172647424
915252274376
105535125268
1123904855a2
1210a58515b0
136a299176a
143a719bd08
15225e0c1b3
hex149eb4f14

5535125268 has 96 divisors (see below), whose sum is σ = 14167093248. Its totient is φ = 1674432000.

The previous prime is 5535125243. The next prime is 5535125269. The reversal of 5535125268 is 8625215355.

It is a super-2 number, since 2×55351252682 = 61275223464904143648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5535125269) 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 31 ways as a sum of consecutive naturals, for example, 1940043 + ... + 1942893.

It is an arithmetic number, because the mean of its divisors is an integer number (147573888).

Almost surely, 25535125268 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 5535125268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083546624).

5535125268 is an abundant number, since it is smaller than the sum of its proper divisors (8631967980).

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

5535125268 is a wasteful number, since it uses less digits than its factorization.

5535125268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3211 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

The square root of 5535125268 is about 74398.4224832758. The cubic root of 5535125268 is about 1768.9239065389.

The spelling of 5535125268 in words is "five billion, five hundred thirty-five million, one hundred twenty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 307 372 527 614 921 1054 1228 1581 1842 2108 2851 3162 3684 5219 5702 6324 8553 9517 10438 11404 15657 17106 19034 20876 28551 31314 34212 38068 48467 57102 62628 88381 96934 114204 145401 161789 176762 193868 265143 290802 323578 353524 485367 530286 581604 647156 875257 970734 1060572 1502477 1750514 1941468 2625771 3004954 3501028 4507431 5251542 6009908 9014862 10503084 14879369 18029724 27132967 29758738 44638107 54265934 59517476 81398901 89276214 108531868 162797802 178552428 325595604 461260439 922520878 1383781317 1845041756 2767562634 5535125268