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66251371648 = 277116779929
BaseRepresentation
bin111101101100111000…
…111011010010000000
320100000011122101111111
4331230320323102000
52041140322343043
650234020453104
74533525240010
oct755470732200
9210004571444
1066251371648
1126108199110
1210a0b54a194
13632a928a77
1432c6c17c40
151acb49109d
hexf6ce3b480

66251371648 has 128 divisors (see below), whose sum is σ = 164812579200. Its totient is φ = 25771499520.

The previous prime is 66251371631. The next prime is 66251371649. The reversal of 66251371648 is 84617315266.

66251371648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (66251371649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6667548 + ... + 6677476.

It is an arithmetic number, because the mean of its divisors is an integer number (1287598275).

Almost surely, 266251371648 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 66251371648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82406289600).

66251371648 is an abundant number, since it is smaller than the sum of its proper divisors (98561207552).

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

66251371648 is a wasteful number, since it uses less digits than its factorization.

66251371648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10638 (or 10626 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The spelling of 66251371648 in words is "sixty-six billion, two hundred fifty-one million, three hundred seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 677 704 896 1232 1354 1408 2464 2708 4739 4928 5416 7447 9478 9856 9929 10832 14894 18956 19858 21664 29788 37912 39716 43328 52129 59576 69503 75824 79432 86656 104258 109219 119152 139006 151648 158864 208516 218438 238304 278012 303296 317728 417032 436876 476608 556024 606592 635456 764533 834064 873752 953216 1112048 1270912 1529066 1668128 1747504 2224096 3058132 3336256 3495008 4448192 6116264 6672512 6721933 6990016 8896384 12232528 13443866 13980032 24465056 26887732 47053531 48930112 53775464 73941263 94107062 97860224 107550928 147882526 188214124 215101856 295765052 376428248 430203712 517588841 591530104 752856496 860407424 1035177682 1183060208 1505712992 2070355364 2366120416 3011425984 4140710728 4732240832 6022851968 8281421456 9464481664 16562842912 33125685824 66251371648