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66187080882 = 23313293439733
BaseRepresentation
bin111101101001000011…
…101011010010110010
320022211200200002011000
4331221003223102302
52041022343042012
650223402502430
74532114622246
oct755103532262
9208750602130
1066187080882
112608497754a
12109b1b04a16
13631a508ab0
1432bc480426
151ac59e1ddc
hexf690eb4b2

66187080882 has 128 divisors (see below), whose sum is σ = 159516403200. Its totient is φ = 20221892352.

The previous prime is 66187080863. The next prime is 66187080919. The reversal of 66187080882 is 28808078166.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 90295788 + ... + 90296520.

It is an arithmetic number, because the mean of its divisors is an integer number (1246221900).

Almost surely, 266187080882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66187080882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79758201600).

66187080882 is an abundant number, since it is smaller than the sum of its proper divisors (93329322318).

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

66187080882 is a wasteful number, since it uses less digits than its factorization.

66187080882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 66187080882 in words is "sixty-six billion, one hundred eighty-seven million, eighty thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 293 351 439 586 702 733 878 879 1317 1466 1758 2199 2634 2637 3809 3951 4398 5274 5707 6597 7618 7902 7911 9529 11414 11427 11853 13194 15822 17121 19058 19791 22854 23706 28587 34242 34281 39582 51363 57174 68562 85761 102726 102843 128627 154089 171522 205686 214769 257254 257283 308178 321787 385881 429538 514566 643574 644307 771762 965361 1157643 1288614 1672151 1930722 1932921 2315286 2791997 2896083 3344302 3472929 3865842 4183231 5016453 5583994 5792166 5798763 6945858 8366462 8375991 8688249 10032906 11597526 12549693 15049359 16751982 17376498 25099386 25127973 30098718 37649079 45148077 50255946 75298158 75383919 90296154 94283591 112947237 150767838 188567182 225894474 282850773 565701546 848552319 1225686683 1697104638 2451373366 2545656957 3677060049 5091313914 7354120098 11031180147 22062360294 33093540441 66187080882