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133232201545542 = 231129315743390991
BaseRepresentation
bin11110010010110010001010…
…000010111011011101000110
3122110201212121012110020211020
4132102302022002323131012
5114430334022043424132
61151210010050252010
740030465104425541
oct3622621202733506
9573655535406736
10133232201545542
11394a7506463960
1212b39362887006
13594598691c2c8
1424c8689b41858
151060a1e2b052c
hex792c8a0bb746

133232201545542 has 128 divisors (see below), whose sum is σ = 310467416555520. Its totient is φ = 37717084944000.

The previous prime is 133232201545507. The next prime is 133232201545603. The reversal of 133232201545542 is 245545102232331.

It is a junction number, because it is equal to n+sod(n) for n = 133232201545494 and 133232201545503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340559667 + ... + 340950657.

It is an arithmetic number, because the mean of its divisors is an integer number (2425526691840).

Almost surely, 2133232201545542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133232201545542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155233708277760).

133232201545542 is an abundant number, since it is smaller than the sum of its proper divisors (177235215009978).

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

133232201545542 is a wasteful number, since it uses less digits than its factorization.

133232201545542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396810.

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 133232201545542 its reverse (245545102232331), we get a palindrome (378777303777873).

The spelling of 133232201545542 in words is "one hundred thirty-three trillion, two hundred thirty-two billion, two hundred one million, five hundred forty-five thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 29 31 33 58 62 66 87 93 174 186 319 341 638 682 899 957 1023 1798 1914 2046 2697 5394 5743 9889 11486 17229 19778 29667 34458 59334 63173 126346 166547 178033 189519 333094 356066 379038 390991 499641 534099 781982 999282 1068198 1172973 1832017 1958363 2345946 3664034 3916726 4300901 5162957 5496051 5875089 8601802 10325914 10992102 11338739 11750178 12120721 12902703 15488871 22677478 24241442 25805406 30977742 34016217 36362163 56792527 68032434 72724326 113585054 124726129 133327931 170377581 249452258 266655862 340755162 351500909 374178387 399983793 703001818 748356774 799967586 1054502727 2109005454 2245461313 3866509999 4490922626 6736383939 7733019998 11599529997 13472767878 23199059994 24700074443 49400148886 65118378077 69609300703 74100223329 130236756154 139218601406 148200446658 195355134231 208827902109 390710268462 417655804218 716302158847 765702307733 1432604317694 1531404615466 2018669720387 2148906476541 2297106923199 4037339440774 4297812953082 4594213846398 6056009161161 12112018322322 22205366924257 44410733848514 66616100772771 133232201545542