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66076758916 = 2274432612
BaseRepresentation
bin111101100010011110…
…110101001110000100
320022120000002010212021
4331202132311032010
52040311122241131
650204422132524
74526305120000
oct754236651604
9208500063767
1066076758916
1126028675a73
1210980b81144
1363006c001c
1432ab963700
151abae9de11
hexf627b5384

66076758916 has 135 divisors (see below), whose sum is σ = 140410020933. Its totient is φ = 27206595360.

The previous prime is 66076758887. The next prime is 66076758919. The reversal of 66076758916 is 61985767066.

The square root of 66076758916 is 257054.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2148693316 + 63928065600 = 46354^2 + 252840^2 .

It is a super-2 number, since 2×660767589162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (66076758919) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 1083225526 + ... + 1083225586.

Almost surely, 266076758916 is an apocalyptic number.

66076758916 is the 257054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66076758916

66076758916 is an abundant number, since it is smaller than the sum of its proper divisors (74333262017).

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

66076758916 is an frugal number, since it uses more digits than its factorization.

66076758916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 66076758916 in words is "sixty-six billion, seventy-six million, seven hundred fifty-eight thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 43 49 61 86 98 122 172 196 244 301 343 427 602 686 854 1204 1372 1708 1849 2107 2401 2623 2989 3698 3721 4214 4802 5246 5978 7396 7442 8428 9604 10492 11956 12943 14749 14884 18361 20923 25886 26047 29498 36722 41846 51772 52094 58996 73444 83692 90601 103243 104188 112789 128527 146461 160003 181202 182329 206486 225578 257054 292922 320006 362404 364658 412972 451156 514108 585844 634207 640012 729316 789523 899689 1120021 1268414 1276303 1579046 1799378 2240042 2536828 2552606 3158092 3598756 4439449 4480084 5105212 5526661 6297823 6880129 7840147 8878898 8934121 11053322 12595646 13760258 15680294 17757796 17868242 22106644 25191292 27520516 31360588 35736484 38686627 48160903 54881029 77373254 96321806 109762058 154746508 192643612 219524116 270806389 337126321 384167203 541612778 674252642 768334406 1083225556 1348505284 1536668812 2359884247 4719768494 9439536988 16519189729 33038379458 66076758916