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66472740642 = 237119710314401
BaseRepresentation
bin111101111010000101…
…011000011100100010
320100120121012002200010
4331322011120130202
52042114010200032
650312005305350
74542153654450
oct757205303442
9210517162603
1066472740642
11262111469a0
1210a71705256
136364755639
14330839d9d0
151ae0b1bccc
hexf7a158722

66472740642 has 128 divisors (see below), whose sum is σ = 169096531968. Its totient is φ = 16920576000.

The previous prime is 66472740617. The next prime is 66472740671. The reversal of 66472740642 is 24604727466.

It is a happy number.

66472740642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66472740591 and 66472740600.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4608642 + ... + 4623042.

It is an arithmetic number, because the mean of its divisors is an integer number (1321066656).

Almost surely, 266472740642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66472740642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84548265984).

66472740642 is an abundant number, since it is smaller than the sum of its proper divisors (102623791326).

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

66472740642 is a wasteful number, since it uses less digits than its factorization.

66472740642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14624.

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 66472740642 in words is "sixty-six billion, four hundred seventy-two million, seven hundred forty thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 97 103 154 194 206 231 291 309 462 582 618 679 721 1067 1133 1358 1442 2037 2134 2163 2266 3201 3399 4074 4326 6402 6798 7469 7931 9991 14401 14938 15862 19982 22407 23793 28802 29973 43203 44814 47586 59946 69937 86406 100807 109901 139874 158411 201614 209811 219802 302421 316822 329703 419622 475233 604842 659406 769307 950466 1108877 1396897 1483303 1538614 2217754 2307921 2793794 2966606 3326631 4190691 4449909 4615842 6653262 8381382 8899818 9778279 10383121 15365867 16316333 19556558 20766242 29334837 30731734 31149363 32632666 46097601 48948999 58669674 62298726 92195202 97897998 107561069 114214331 143880391 215122138 228428662 287760782 322683207 342642993 431641173 645366414 685285986 863282346 1007162737 1582684301 2014325474 3021488211 3165368602 4748052903 6042976422 9496105806 11078790107 22157580214 33236370321 66472740642