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10125026028 = 2233139077951
BaseRepresentation
bin10010110110111111…
…11010001011101100
3222010122000121121000
421123133322023230
5131214001313103
64352410240300
7505623205215
oct113337721354
928118017530
1010125026028
114326349a07
121b66a26090
13c54883c80
146c09ca40c
153e3d57aa3
hex25b7fa2ec

10125026028 has 96 divisors (see below), whose sum is σ = 28304030720. Its totient is φ = 3111566400.

The previous prime is 10125026027. The next prime is 10125026047. The reversal of 10125026028 is 82062052101.

It is a happy number.

10125026028 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 50 + 2 + 602 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10125025992 and 10125026010.

It is not an unprimeable number, because it can be changed into a prime (10125026027) 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, 1269453 + ... + 1277403.

Almost surely, 210125026028 is an apocalyptic number.

10125026028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10125026028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152015360).

10125026028 is an abundant number, since it is smaller than the sum of its proper divisors (18179004692).

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

10125026028 is a wasteful number, since it uses less digits than its factorization.

10125026028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8884 (or 8876 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10125026028 its reverse (82062052101), we get a palindrome (92187078129).

The spelling of 10125026028 in words is "ten billion, one hundred twenty-five million, twenty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 907 1404 1814 2721 3628 5442 7951 8163 10884 11791 15902 16326 23582 23853 24489 31804 32652 35373 47164 47706 48978 70746 71559 95412 97956 103363 106119 141492 143118 206726 212238 214677 286236 310089 318357 413452 424476 429354 620178 636714 858708 930267 1240356 1273428 1860534 2790801 3721068 5581602 7211557 11163204 14423114 21634671 28846228 43269342 64904013 86538684 93750241 129808026 187500482 194712039 259616052 281250723 375000964 389424078 562501446 778848156 843752169 1125002892 1687504338 2531256507 3375008676 5062513014 10125026028