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5266401888 = 2531147106109
BaseRepresentation
bin1001110011110011…
…01110101001100000
3111121000122221020210
410321321232221200
541241144330023
62230325134120
7244335451236
oct47171565140
914530587223
105266401888
112262823760
12102b85a340
1365c0c4a47
1437d60a956
1520c52a593
hex139e6ea60

5266401888 has 96 divisors (see below), whose sum is σ = 15402078720. Its totient is φ = 1561909760.

The previous prime is 5266401887. The next prime is 5266401949. The reversal of 5266401888 is 8881046625.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5266401887) 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 15 ways as a sum of consecutive naturals, for example, 3423 + ... + 102686.

It is an arithmetic number, because the mean of its divisors is an integer number (160438320).

Almost surely, 25266401888 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 5266401888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701039360).

5266401888 is an abundant number, since it is smaller than the sum of its proper divisors (10135676832).

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

5266401888 is a wasteful number, since it uses less digits than its factorization.

5266401888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106180 (or 106172 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 5266401888 is about 72569.9792476200. The cubic root of 5266401888 is about 1739.8213900427.

The spelling of 5266401888 in words is "five billion, two hundred sixty-six million, four hundred one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 3102 4136 4512 6204 8272 12408 16544 24816 49632 106109 212218 318327 424436 636654 848872 1167199 1273308 1697744 2334398 2546616 3395488 3501597 4668796 4987123 5093232 7003194 9337592 9974246 10186464 14006388 14961369 18675184 19948492 28012776 29922738 37350368 39896984 54858353 56025552 59845476 79793968 109716706 112051104 119690952 159587936 164575059 219433412 239381904 329150118 438866824 478763808 658300236 877733648 1316600472 1755467296 2633200944 5266401888