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66835102656 = 2637333114929
BaseRepresentation
bin111110001111101011…
…101011101111000000
320101111212000222220110
4332033223223233000
52043334241241111
650411552111320
74554143666460
oct761753535700
9211455028813
1066835102656
1126387744933
1210b52b35540
1363c184952a
143340567ba0
151b128485a6
hexf8faebbc0

66835102656 has 112 divisors (see below), whose sum is σ = 202170832640. Its totient is φ = 19088732160.

The previous prime is 66835102597. The next prime is 66835102721. The reversal of 66835102656 is 65620153866.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4469400 + ... + 4484328.

It is an arithmetic number, because the mean of its divisors is an integer number (1805096720).

Almost surely, 266835102656 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 66835102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101085416320).

66835102656 is an abundant number, since it is smaller than the sum of its proper divisors (135335729984).

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

66835102656 is a wasteful number, since it uses less digits than its factorization.

66835102656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18282 (or 18272 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 66835102656 in words is "sixty-six billion, eight hundred thirty-five million, one hundred two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3331 6662 9993 13324 14929 19986 23317 26648 29858 39972 44787 46634 53296 59716 69951 79944 89574 93268 104503 106592 119432 139902 159888 179148 186536 209006 213184 238864 279804 313509 319776 358296 373072 418012 477728 559608 627018 639552 716592 746144 836024 955456 1119216 1254036 1433184 1492288 1672048 2238432 2508072 2866368 3344096 4476864 5016144 6688192 10032288 20064576 49728499 99456998 149185497 198913996 298370994 348099493 397827992 596741988 696198986 795655984 1044298479 1193483976 1392397972 1591311968 2088596958 2386967952 2784795944 3182623936 4177193916 4773935904 5569591888 8354387832 9547871808 11139183776 16708775664 22278367552 33417551328 66835102656