Search a number
-
+
10274575542 = 2371137958679
BaseRepresentation
bin10011001000110100…
…11001010010110110
3222112001102111221220
421210122121102312
5132020242404132
64415311451210
7512420310510
oct114432312266
928461374856
1010274575542
1143a2803750
121ba8b26b06
13c79855aca
146d67d8bb0
15402048a2c
hex2646994b6

10274575542 has 64 divisors (see below), whose sum is σ = 25687756800. Its totient is φ = 2661634080.

The previous prime is 10274575537. The next prime is 10274575543. The reversal of 10274575542 is 24557547201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10274575494 and 10274575503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10274575543) 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, 145759 + ... + 204437.

It is an arithmetic number, because the mean of its divisors is an integer number (401371200).

Almost surely, 210274575542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10274575542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843878400).

10274575542 is an abundant number, since it is smaller than the sum of its proper divisors (15413181258).

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

10274575542 is a wasteful number, since it uses less digits than its factorization.

10274575542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59081.

The product of its (nonzero) digits is 392000, while the sum is 42.

The spelling of 10274575542 in words is "ten billion, two hundred seventy-four million, five hundred seventy-five thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 379 462 758 1137 2274 2653 4169 5306 7959 8338 12507 15918 25014 29183 58366 58679 87549 117358 175098 176037 352074 410753 645469 821506 1232259 1290938 1936407 2464518 3872814 4518283 9036566 13554849 22239341 27109698 44478682 66718023 133436046 155675387 244632751 311350774 467026161 489265502 733898253 934052322 1467796506 1712429257 3424858514 5137287771 10274575542