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5142630558 = 23131272292267
BaseRepresentation
bin1001100101000011…
…00101000010011110
3111021101202200220110
410302201211002132
541013003134213
62210144230450
7241303432002
oct46241450236
914241680813
105142630558
1121a99764aa
12bb630b426
1363c57a380
1436adcc702
1520172c5c3
hex13286509e

5142630558 has 64 divisors (see below), whose sum is σ = 11217346560. Its totient is φ = 1562343552.

The previous prime is 5142630557. The next prime is 5142630583. The reversal of 5142630558 is 8550362415.

It is a super-3 number, since 3×51426305583 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142630553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2267341 + ... + 2269607.

It is an arithmetic number, because the mean of its divisors is an integer number (175271040).

Almost surely, 25142630558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142630558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608673280).

5142630558 is an abundant number, since it is smaller than the sum of its proper divisors (6074716002).

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

5142630558 is a wasteful number, since it uses less digits than its factorization.

5142630558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641.

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 5142630558 is about 71712.1367552244. The cubic root of 5142630558 is about 1726.0833978931.

The spelling of 5142630558 in words is "five billion, one hundred forty-two million, six hundred thirty thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 13 26 39 78 127 229 254 381 458 687 762 1374 1651 2267 2977 3302 4534 4953 5954 6801 8931 9906 13602 17862 29083 29471 58166 58942 87249 88413 174498 176826 287909 378079 519143 575818 756158 863727 1038286 1134237 1557429 1727454 2268474 3114858 3742817 6748859 7485634 11228451 13497718 20246577 22456902 40493154 65931161 131862322 197793483 395586966 857105093 1714210186 2571315279 5142630558