Search a number
-
+
12157505262 = 23271949910177
BaseRepresentation
bin10110101001010010…
…01100111011101110
31011101021111020221200
423110221030323232
5144344310132022
65330213310330
7610163042520
oct132451147356
934337436850
1012157505262
11517965a711
1224336353a6
1311b99908c6
148348dba10
154b24d3bac
hex2d4a4ceee

12157505262 has 96 divisors (see below), whose sum is σ = 31755360000. Its totient is φ = 3283835904.

The previous prime is 12157505257. The next prime is 12157505263. The reversal of 12157505262 is 26250575121.

12157505262 is a `hidden beast` number, since 1 + 21 + 575 + 0 + 5 + 2 + 62 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12157505263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189518 + ... + 1199694.

It is an arithmetic number, because the mean of its divisors is an integer number (330785000).

Almost surely, 212157505262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12157505262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15877680000).

12157505262 is an abundant number, since it is smaller than the sum of its proper divisors (19597854738).

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

12157505262 is a wasteful number, since it uses less digits than its factorization.

12157505262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10710 (or 10707 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 12157505262 in words is "twelve billion, one hundred fifty-seven million, five hundred five thousand, two hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 499 798 998 1197 1497 2394 2994 3493 4491 6986 8982 9481 10177 10479 18962 20354 20958 28443 30531 31437 56886 61062 62874 66367 71239 85329 91593 132734 142478 170658 183186 193363 199101 213717 386726 398202 427434 580089 597303 641151 1160178 1194606 1282302 1353541 1740267 2707082 3480534 4060623 5078323 8121246 10156646 12181869 15234969 24363738 30469938 35548261 45704907 71096522 91409814 96488137 106644783 192976274 213289566 289464411 319934349 578928822 639868698 675416959 868393233 1350833918 1736786466 2026250877 4052501754 6078752631 12157505262