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66505546044 = 22347131223843
BaseRepresentation
bin111101111100000010…
…100001100100111100
320100122212220210020000
4331330002201210330
52042200404433134
650315140354300
74543032546150
oct757402414474
9210585823200
1066505546044
11262287130a3
1210a806a5990
13636b4a0512
14330c89d060
151ae394be99
hexf7c0a193c

66505546044 has 120 divisors (see below), whose sum is σ = 200213236608. Its totient is φ = 18856450080.

The previous prime is 66505546007. The next prime is 66505546057. The reversal of 66505546044 is 44064550566.

66505546044 is a `hidden beast` number, since 6 + 6 + 50 + 554 + 6 + 0 + 44 = 666.

66505546044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×665055460442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185187 + ... + 409029.

Almost surely, 266505546044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66505546044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100106618304).

66505546044 is an abundant number, since it is smaller than the sum of its proper divisors (133707690564).

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

66505546044 is a wasteful number, since it uses less digits than its factorization.

66505546044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223997 (or 223986 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 66505546044 in words is "sixty-six billion, five hundred five million, five hundred forty-six thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 131 162 189 252 262 324 378 393 524 567 756 786 917 1134 1179 1572 1834 2268 2358 2751 3537 3668 4716 5502 7074 8253 10611 11004 14148 16506 21222 24759 33012 42444 49518 74277 99036 148554 223843 297108 447686 671529 895372 1343058 1566901 2014587 2686116 3133802 4029174 4700703 6043761 6267604 8058348 9401406 12087522 14102109 18131283 18802812 24175044 28204218 29323433 36262566 42306327 56408436 58646866 72525132 84612654 87970299 117293732 126918981 169225308 175940598 205264031 253837962 263910897 351881196 410528062 507675924 527821794 615792093 791732691 821056124 1055643588 1231584186 1583465382 1847376279 2375198073 2463168372 3166930764 3694752558 4750396146 5542128837 7389505116 9500792292 11084257674 16626386511 22168515348 33252773022 66505546044