Search a number
-
+
66709978608 = 243713107142733
BaseRepresentation
bin111110001000001110…
…010111110111110000
320101012010121000222110
4332020032113313300
52043110223303413
650351322205320
74551064314360
oct761016276760
9211163530873
1066709978608
1126323053329
1210b19053840
1363a194a230
14332bab69a0
151b0687e8c3
hexf88397df0

66709978608 has 160 divisors (see below), whose sum is σ = 214087297536. Its totient is φ = 17429289984.

The previous prime is 66709978603. The next prime is 66709978631. The reversal of 66709978608 is 80687990766.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66709978603) 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, 396010 + ... + 538742.

Almost surely, 266709978608 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 66709978608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107043648768).

66709978608 is an abundant number, since it is smaller than the sum of its proper divisors (147377318928).

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

66709978608 is a wasteful number, since it uses less digits than its factorization.

66709978608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142871 (or 142865 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 66.

The spelling of 66709978608 in words is "sixty-six billion, seven hundred nine million, nine hundred seventy-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 107 112 156 168 182 208 214 273 312 321 336 364 428 546 624 642 728 749 856 1092 1284 1391 1456 1498 1712 2184 2247 2568 2782 2996 4173 4368 4494 5136 5564 5992 8346 8988 9737 11128 11984 16692 17976 19474 22256 29211 33384 35952 38948 58422 66768 77896 116844 142733 155792 233688 285466 428199 467376 570932 856398 999131 1141864 1712796 1855529 1998262 2283728 2997393 3425592 3711058 3996524 5566587 5994786 6851184 7422116 7993048 11133174 11989572 12988703 14844232 15272431 15986096 22266348 23979144 25977406 29688464 30544862 38966109 44532696 45817293 47958288 51954812 61089724 77932218 89065392 91634586 103909624 106907017 122179448 155864436 183269172 198541603 207819248 213814034 244358896 311728872 320721051 366538344 397083206 427628068 595624809 623457744 641442102 733076688 794166412 855256136 1191249618 1282884204 1389791221 1588332824 1710512272 2382499236 2565768408 2779582442 3176665648 4169373663 4764998472 5131536816 5559164884 8338747326 9529996944 11118329768 16677494652 22236659536 33354989304 66709978608