Search a number
-
+
10267372134 = 233137892
BaseRepresentation
bin10011000111111101…
…11010101001100110
3222111112212112202000
421203332322221212
5132011421402014
64414453230130
7512302136355
oct114376725146
928445775660
1010267372134
114399733718
121ba6632346
13c78203136
146d588199c
154015c4509
hex263fbaa66

10267372134 has 24 divisors (see below), whose sum is σ = 22818037320. Its totient is φ = 3422209176.

The previous prime is 10267372127. The next prime is 10267372147. The reversal of 10267372134 is 43127376201.

10267372134 is a `hidden beast` number, since 10 + 267 + 372 + 13 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737712 + ... + 751500.

It is an arithmetic number, because the mean of its divisors is an integer number (950751555).

Almost surely, 210267372134 is an apocalyptic number.

10267372134 is an abundant number, since it is smaller than the sum of its proper divisors (12550665186).

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

10267372134 is an frugal number, since it uses more digits than its factorization.

10267372134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27589 (or 13794 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Multiplying 10267372134 by its product of nonzero digits (42336), we get a square (434679466665024 = 208489682).

The spelling of 10267372134 in words is "ten billion, two hundred sixty-seven million, three hundred seventy-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 13789 27578 41367 82734 124101 248202 372303 744606 190136521 380273042 570409563 1140819126 1711228689 3422457378 5133686067 10267372134