Search a number
-
+
5135432562 = 2341353139331
BaseRepresentation
bin1001100100001100…
…00111101101110010
3111020220020000010000
410302012013231302
541004132320222
62205330050430
7241155312411
oct46206075562
914226200100
105135432562
1121a58aa547
12bb3a19a16
1363ac29cc0
1436a077478
15200ca99ac
hex132187b72

5135432562 has 160 divisors (see below), whose sum is σ = 12755413440. Its totient is φ = 1534515840.

The previous prime is 5135432507. The next prime is 5135432563. The reversal of 5135432562 is 2652345315.

5135432562 is a `hidden beast` number, since 5 + 13 + 54 + 32 + 562 = 666.

It is not an unprimeable number, because it can be changed into a prime (5135432563) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15514737 + ... + 15515067.

It is an arithmetic number, because the mean of its divisors is an integer number (79721334).

Almost surely, 25135432562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5135432562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377706720).

5135432562 is an abundant number, since it is smaller than the sum of its proper divisors (7619980878).

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

5135432562 is a wasteful number, since it uses less digits than its factorization.

5135432562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 541 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 5135432562 is about 71661.9324467321. The cubic root of 5135432562 is about 1725.2777050068.

Adding to 5135432562 its reverse (2652345315), we get a palindrome (7787777877).

The spelling of 5135432562 in words is "five billion, one hundred thirty-five million, four hundred thirty-two thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 81 106 117 139 159 162 234 278 318 331 351 417 477 662 689 702 834 954 993 1053 1251 1378 1431 1807 1986 2067 2106 2502 2862 2979 3614 3753 4134 4293 4303 5421 5958 6201 7367 7506 8586 8606 8937 10842 11259 12402 12909 14734 16263 17543 17874 18603 22101 22518 25818 26811 32526 35086 37206 38727 44202 46009 48789 52629 53622 55809 66303 77454 92018 95771 97578 105258 111618 116181 132606 138027 146367 157887 191542 198909 228059 232362 276054 287313 292734 315774 348543 397818 414081 456118 473661 574626 596727 598117 684177 697086 828162 861939 947322 1193454 1196234 1242243 1368354 1420983 1723878 1794351 2052531 2438477 2484486 2585817 2841966 3588702 3726729 4105062 4876954 5171634 5383053 6157593 7315431 7453458 7757451 10766106 12315186 14630862 15514902 16149159 18472779 21946293 31700201 32298318 36945558 43892586 48447477 63400402 65838879 95100603 96894954 131677758 190201206 197516637 285301809 395033274 570603618 855905427 1711810854 2567716281 5135432562