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66455205040 = 2457547216947
BaseRepresentation
bin111101111001000010…
…011111010010110000
320100112101012012100101
4331321002133102300
52042100013030130
650310141402144
74541551631320
oct757102372260
9210471165311
1066455205040
112620225a164
1210a67869354
136360c25b43
143305d17280
151ade3061ca
hexf7909f4b0

66455205040 has 80 divisors (see below), whose sum is σ = 176904605952. Its totient is φ = 22742883072.

The previous prime is 66455205031. The next prime is 66455205041. The reversal of 66455205040 is 4050255466.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (66455205041) 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 15 ways as a sum of consecutive naturals, for example, 197847 + ... + 414793.

Almost surely, 266455205040 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 66455205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452302976).

66455205040 is an abundant number, since it is smaller than the sum of its proper divisors (110449400912).

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

66455205040 is a wasteful number, since it uses less digits than its factorization.

66455205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217514 (or 217508 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 66455205040 in words is "sixty-six billion, four hundred fifty-five million, two hundred five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 547 560 1094 2188 2735 3829 4376 5470 7658 8752 10940 15316 19145 21880 30632 38290 43760 61264 76580 153160 216947 306320 433894 867788 1084735 1518629 1735576 2169470 3037258 3471152 4338940 6074516 7593145 8677880 12149032 15186290 17355760 24298064 30372580 60745160 118670009 121490320 237340018 474680036 593350045 830690063 949360072 1186700090 1661380126 1898720144 2373400180 3322760252 4153450315 4746800360 6645520504 8306900630 9493600720 13291041008 16613801260 33227602520 66455205040