Search a number
-
+
135331002534 = 23713772732077
BaseRepresentation
bin111111000001001011…
…0110011100010100110
3110221022110011020022010
41332002112303202212
54204124214040114
6142100433015050
712530425353540
oct1760226634246
9427273136263
10135331002534
1152436906252
122228a0b4486
13c9b94975c0
14679b4d0690
1537c0d9ec59
hex1f825b38a6

135331002534 has 64 divisors (see below), whose sum is σ = 333175965696. Its totient is φ = 35685961344.

The previous prime is 135331002533. The next prime is 135331002571. The reversal of 135331002534 is 435200133531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135331002533) 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 31 ways as a sum of consecutive naturals, for example, 4202904 + ... + 4234980.

It is an arithmetic number, because the mean of its divisors is an integer number (5205874464).

Almost surely, 2135331002534 is an apocalyptic number.

135331002534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

135331002534 is an abundant number, since it is smaller than the sum of its proper divisors (197844963162).

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

135331002534 is a wasteful number, since it uses less digits than its factorization.

135331002534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39829.

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 135331002534 in words is "one hundred thirty-five billion, three hundred thirty-one million, two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 7727 15454 23181 32077 46362 54089 64154 96231 100451 108178 162267 192462 200902 224539 301353 324534 417001 449078 602706 673617 703157 834002 1251003 1347234 1406314 2109471 2502006 2919007 4218942 5838014 8757021 17514042 247858979 495717958 743576937 1487153874 1735012853 3222166727 3470025706 5205038559 6444333454 9666500181 10410077118 19333000362 22555167089 45110334178 67665501267 135331002534