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66135330553242 = 23314150929095857
BaseRepresentation
bin11110000100110010101001…
…11000100111110110011010
322200011110211220020110212010
433002121110320213312122
532132030124110200432
6352354052412530350
716634056100242536
oct1702312470476632
9280143756213763
1066135330553242
111a088921a53195
1275015784809b6
132ab96c5279212
141248d7793abc6
1579a4e984c3cc
hex3c2654e27d9a

66135330553242 has 128 divisors (see below), whose sum is σ = 140214538598400. Its totient is φ = 20762059161600.

The previous prime is 66135330553079. The next prime is 66135330553319. The reversal of 66135330553242 is 24235503353166.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 66135330553191 and 66135330553200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11291670378 + ... + 11291676234.

It is an arithmetic number, because the mean of its divisors is an integer number (1095426082800).

Almost surely, 266135330553242 is an apocalyptic number.

66135330553242 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

66135330553242 is an abundant number, since it is smaller than the sum of its proper divisors (74079208045158).

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

66135330553242 is a wasteful number, since it uses less digits than its factorization.

66135330553242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352.

The product of its (nonzero) digits is 5832000, while the sum is 48.

The spelling of 66135330553242 in words is "sixty-six trillion, one hundred thirty-five billion, three hundred thirty million, five hundred fifty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 31 41 62 82 93 123 186 246 509 1018 1271 1527 2542 2909 3054 3813 5818 5857 7626 8727 11714 15779 17454 17571 20869 31558 35142 41738 47337 62607 90179 94674 119269 125214 180358 181567 238538 240137 270537 357807 363134 480274 541074 544701 646939 715614 720411 1089402 1293878 1440822 1480681 1940817 2961362 2981213 3697339 3881634 4442043 5962426 7394678 7444247 8884086 8943639 11092017 14888494 17038013 17887278 22184034 22332741 34076026 44665482 45901111 51114039 60707921 91802222 92417603 102228078 121415842 122229733 137703333 182123763 184835206 244459466 275406666 277252809 364247526 366689199 528178403 554505618 698558533 733378398 1056356806 1397117066 1584535209 1881945551 2095675599 3169070418 3763891102 3789121723 4191351198 5645836653 7578243446 8672348617 11291673306 11367365169 17344697234 21655314523 22734730338 26017045851 43310629046 52034091702 64965943569 129931887138 268842807127 355566293297 537685614254 711132586594 806528421381 1066698879891 1613056842762 2133397759782 11022555092207 22045110184414 33067665276621 66135330553242