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133462480086 = 233131078532083
BaseRepresentation
bin111110001001011111…
…0111101010011010110
3110202111020012110101000
41330102332331103112
54141312343330321
6141151204044130
712433216235325
oct1742276752326
9422436173330
10133462480086
11516680aa721
1221a48393646
13c77c335410
14666129c0bc
153711d0d826
hex1f12fbd4d6

133462480086 has 128 divisors (see below), whose sum is σ = 322915299840. Its totient is φ = 40614390144.

The previous prime is 133462480069. The next prime is 133462480147. The reversal of 133462480086 is 680084264331.

133462480086 is a `hidden beast` number, since 1 + 3 + 34 + 62 + 480 + 0 + 86 = 666.

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, 64071201 + ... + 64073283.

It is an arithmetic number, because the mean of its divisors is an integer number (2522775780).

Almost surely, 2133462480086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133462480086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161457649920).

133462480086 is an abundant number, since it is smaller than the sum of its proper divisors (189452819754).

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

133462480086 is a wasteful number, since it uses less digits than its factorization.

133462480086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 133462480086 in words is "one hundred thirty-three billion, four hundred sixty-two million, four hundred eighty thousand, eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 107 117 214 234 321 351 642 702 853 963 1391 1706 1926 2083 2559 2782 2889 4166 4173 5118 5778 6249 7677 8346 11089 12498 12519 15354 18747 22178 23031 25038 27079 33267 37494 37557 46062 54158 56241 66534 75114 81237 91271 99801 112482 162474 182542 199602 222881 243711 273813 299403 445762 487422 547626 598806 668643 731133 821439 1186523 1337286 1462266 1642878 1776799 2005929 2373046 2464317 2897453 3553598 3559569 4011858 4928634 5330397 5794906 6017787 7119138 8692359 10660794 10678707 12035574 15991191 17384718 21357414 23098387 26077077 31982382 32036121 46196774 47973573 52154154 64072242 69295161 78231231 95947146 138590322 156462462 190117493 207885483 380234986 415770966 570352479 623656449 1140704958 1247312898 1711057437 2471527409 3422114874 4943054818 5133172311 7414582227 10266344622 14829164454 22243746681 44487493362 66731240043 133462480086