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66042212574 = 231331149183307
BaseRepresentation
bin111101100000011011…
…000011000011011110
320022110121002000012010
4331200123003003132
52040223301300244
650201145452050
74525405354542
oct754033030336
9208417060163
1066042212574
112601011a878
12109714a1026
1362c64b58c0
1432a712da22
151ab7e27eb9
hexf606c30de

66042212574 has 64 divisors (see below), whose sum is σ = 147819571200. Its totient is φ = 19533087360.

The previous prime is 66042212563. The next prime is 66042212591. The reversal of 66042212574 is 47521224066.

66042212574 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268629 + ... + 451935.

It is an arithmetic number, because the mean of its divisors is an integer number (2309680800).

Almost surely, 266042212574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66042212574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73909785600).

66042212574 is an abundant number, since it is smaller than the sum of its proper divisors (81777358626).

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

66042212574 is a wasteful number, since it uses less digits than its factorization.

66042212574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183505.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 66042212574 in words is "sixty-six billion, forty-two million, two hundred twelve thousand, five hundred seventy-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 149 186 298 403 447 806 894 1209 1937 2418 3874 4619 5811 9238 11622 13857 27714 60047 120094 180141 183307 360282 366614 549921 1099842 2382991 4765982 5682517 7148973 11365034 14297946 17047551 27312743 34095102 54625486 73872721 81938229 147745442 163876458 221618163 355065659 443236326 710131318 846695033 1065196977 1693390066 2130393954 2540085099 5080170198 11007035429 22014070858 33021106287 66042212574