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66304641636 = 223310737915139
BaseRepresentation
bin111101110000000100…
…001000101001100100
320100010212212210012000
4331300010020221210
52041242442013021
650243202325300
74535043104052
oct756004105144
9210125783160
1066304641636
11261352726a2
1210a25359830
13633898a67c
1432cdd231d2
151ad0eb4b26
hexf70108a64

66304641636 has 96 divisors (see below), whose sum is σ = 173976768000. Its totient is φ = 21835777824.

The previous prime is 66304641631. The next prime is 66304641671. The reversal of 66304641636 is 63614640366.

66304641636 is a `hidden beast` number, since 6 + 6 + 3 + 0 + 4 + 6 + 4 + 1 + 636 = 666.

It is a super-3 number, since 3×663046416363 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66304641591 and 66304641600.

It is not an unprimeable number, because it can be changed into a prime (66304641631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4372155 + ... + 4387293.

It is an arithmetic number, because the mean of its divisors is an integer number (1812258000).

Almost surely, 266304641636 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 66304641636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86988384000).

66304641636 is an abundant number, since it is smaller than the sum of its proper divisors (107672126364).

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

66304641636 is a wasteful number, since it uses less digits than its factorization.

66304641636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15638 (or 15630 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 66304641636 in words is "sixty-six billion, three hundred four million, six hundred forty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 379 428 642 758 963 1137 1284 1516 1926 2274 2889 3411 3852 4548 5778 6822 10233 11556 13644 15139 20466 30278 40553 40932 45417 60556 81106 90834 121659 136251 162212 181668 243318 272502 364977 408753 486636 545004 729954 817506 1094931 1459908 1619873 1635012 2189862 3239746 4379724 4859619 5737681 6479492 9719238 11475362 14578857 17213043 19438476 22950724 29157714 34426086 43736571 51639129 58315428 68852172 87473142 103278258 154917387 174946284 206556516 309834774 613931867 619669548 1227863734 1841795601 2455727468 3683591202 5525386803 7367182404 11050773606 16576160409 22101547212 33152320818 66304641636