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66021861708 = 2232111715796211
BaseRepresentation
bin111101011111001101…
…011010100101001100
320022102011210002001100
4331133031122211030
52040203044033313
650155141343100
74525040364555
oct753715324514
9208364702040
1066021861708
1125aaa68a980
1210966707a90
1362c220b87a
1432a455332c
151ab6258173
hexf5f35a94c

66021861708 has 144 divisors (see below), whose sum is σ = 192922853760. Its totient is φ = 18814809600.

The previous prime is 66021861673. The next prime is 66021861739. The reversal of 66021861708 is 80716812066.

It is a happy number.

66021861708 is a `hidden beast` number, since 6 + 6 + 0 + 21 + 8 + 617 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10626723 + ... + 10632933.

It is an arithmetic number, because the mean of its divisors is an integer number (1339742040).

Almost surely, 266021861708 is an apocalyptic number.

66021861708 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66021861708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96461426880).

66021861708 is an abundant number, since it is smaller than the sum of its proper divisors (126900992052).

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

66021861708 is a wasteful number, since it uses less digits than its factorization.

66021861708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

It can be divided in two parts, 66021 and 861708, that added together give a palindrome (927729).

The spelling of 66021861708 in words is "sixty-six billion, twenty-one million, eight hundred sixty-one thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1579 1683 2244 3158 3366 4737 6211 6316 6732 9474 12422 14211 17369 18633 18948 24844 26843 28422 34738 37266 52107 53686 55899 56844 68321 69476 74532 80529 104214 105587 107372 111798 136642 156321 161058 204963 208428 211174 223596 241587 273284 295273 312642 316761 322116 409926 422348 483174 590546 614889 625284 633522 819852 885819 950283 966348 1161457 1181092 1229778 1267044 1771638 1900566 2322914 2459556 2657457 3484371 3543276 3801132 4645828 5314914 6968742 9807169 10453113 10629828 13937484 19614338 20906226 29421507 39228676 41812452 58843014 88264521 107878859 117686028 166721873 176529042 215757718 323636577 333443746 353058084 431515436 500165619 647273154 666887492 970909731 1000331238 1294546308 1500496857 1833940603 1941819462 2000662476 3000993714 3667881206 3883638924 5501821809 6001987428 7335762412 11003643618 16505465427 22007287236 33010930854 66021861708