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66044702676 = 223231936192003
BaseRepresentation
bin111101100000100100…
…100010111111010100
320022110202202111222010
4331200210202333110
52040224420441201
650201315104220
74525435465401
oct754044427724
9208422674863
1066044702676
1126011570707
12109722a2070
1362c6b78134
1432a75bb2a8
151ab826abd6
hexf60922fd4

66044702676 has 96 divisors (see below), whose sum is σ = 161979632640. Its totient is φ = 20904339456.

The previous prime is 66044702663. The next prime is 66044702681. The reversal of 66044702676 is 67620744066.

66044702676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×660447026762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32971891 + ... + 32973893.

It is an arithmetic number, because the mean of its divisors is an integer number (1687287840).

Almost surely, 266044702676 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 66044702676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80989816320).

66044702676 is an abundant number, since it is smaller than the sum of its proper divisors (95934929964).

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

66044702676 is a wasteful number, since it uses less digits than its factorization.

66044702676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 66044702676 in words is "sixty-six billion, forty-four million, seven hundred two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 193 276 386 579 619 772 1158 1238 1857 2003 2316 2476 3714 4006 4439 6009 7428 8012 8878 12018 13317 14237 17756 24036 26634 28474 42711 46069 53268 56948 85422 92138 119467 138207 170844 184276 238934 276414 358401 386579 477868 552828 716802 773158 1159737 1239857 1433604 1546316 2319474 2479714 2747741 3719571 4638948 4959428 5495482 7439142 8243223 8891317 10990964 14878284 16486446 17782634 26673951 28516711 32972892 35565268 53347902 57033422 85550133 106695804 114066844 171100266 239292401 342200532 478584802 717877203 957169604 1435754406 2871508812 5503725223 11007450446 16511175669 22014900892 33022351338 66044702676