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66040822480 = 2458321147137
BaseRepresentation
bin111101100000010101…
…101111101011010000
320022110111110101100011
4331200111233223100
52040222422304410
650201100004304
74525360505023
oct754025575320
9208414411304
1066040822480
112600a360436
1210970b30694
1362c6119c69
1432a6c8b1ba
151ab7c5118a
hexf6056fad0

66040822480 has 80 divisors (see below), whose sum is σ = 156134631744. Its totient is φ = 25973821440.

The previous prime is 66040822451. The next prime is 66040822481. The reversal of 66040822480 is 8422804066.

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

It is a super-2 number, since 2×660408224802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66040822481) 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, 1377472 + ... + 1424608.

Almost surely, 266040822480 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 66040822480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78067315872).

66040822480 is an abundant number, since it is smaller than the sum of its proper divisors (90093809264).

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

66040822480 is a wasteful number, since it uses less digits than its factorization.

66040822480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47444 (or 47438 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 66040822480 in words is "sixty-six billion, forty million, eight hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 211 332 415 422 664 830 844 1055 1328 1660 1688 2110 3320 3376 4220 6640 8440 16880 17513 35026 47137 70052 87565 94274 140104 175130 188548 235685 280208 350260 377096 471370 700520 754192 942740 1401040 1885480 3770960 3912371 7824742 9945907 15649484 19561855 19891814 31298968 39123710 39783628 49729535 62597936 78247420 79567256 99459070 156494840 159134512 198918140 312989680 397836280 795672560 825510281 1651020562 3302041124 4127551405 6604082248 8255102810 13208164496 16510205620 33020411240 66040822480