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10259027088 = 2432383111959
BaseRepresentation
bin10011000110111110…
…00101010010010000
3222110222011120111020
421203133011102100
5132002302331323
64413554315440
7512141201652
oct114337052220
928428146436
1010259027088
114394a53992
121ba3888b80
13c7657093b
146d470c6d2
154009c6ae3
hex2637c5490

10259027088 has 80 divisors (see below), whose sum is σ = 27988208640. Its totient is φ = 3231555712.

The previous prime is 10259027083. The next prime is 10259027101. The reversal of 10259027088 is 88072095201.

It is not an unprimeable number, because it can be changed into a prime (10259027081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35653 + ... + 147611.

It is an arithmetic number, because the mean of its divisors is an integer number (349852608).

Almost surely, 210259027088 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 10259027088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994104320).

10259027088 is an abundant number, since it is smaller than the sum of its proper divisors (17729181552).

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

10259027088 is a wasteful number, since it uses less digits than its factorization.

10259027088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112076 (or 112070 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 10259027088 in words is "ten billion, two hundred fifty-nine million, twenty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 184 249 276 332 368 498 552 664 996 1104 1328 1909 1992 3818 3984 5727 7636 11454 15272 22908 30544 45816 91632 111959 223918 335877 447836 671754 895672 1343508 1791344 2575057 2687016 5150114 5374032 7725171 9292597 10300228 15450342 18585194 20600456 27877791 30900684 37170388 41200912 55755582 61801368 74340776 111511164 123602736 148681552 213729731 223022328 427459462 446044656 641189193 854918924 1282378386 1709837848 2564756772 3419675696 5129513544 10259027088