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10664640630 = 23557626963
BaseRepresentation
bin10011110111010100…
…11000000001110110
31000112020101212200000
421323222120001312
5133320122000010
64522124132130
7525164643510
oct117352300166
930466355600
1010664640630
114582a03396
122097697046
13100c5c9357
14732534bb0
154263e87c0
hex27ba98076

10664640630 has 96 divisors (see below), whose sum is σ = 32862945024. Its totient is φ = 2437628256.

The previous prime is 10664640619. The next prime is 10664640689. The reversal of 10664640630 is 3604646601.

10664640630 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 4 + 640 + 6 + 3 + 0 = 666.

10664640630 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 2×106646406302 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296472 + ... + 330491.

It is an arithmetic number, because the mean of its divisors is an integer number (342322344).

Almost surely, 210664640630 is an apocalyptic number.

10664640630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10664640630 is an abundant number, since it is smaller than the sum of its proper divisors (22198304394).

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

10664640630 is an equidigital number, since it uses as much as digits as its factorization.

10664640630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626992 (or 626980 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 10664640630 in words is "ten billion, six hundred sixty-four million, six hundred forty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 810 945 1134 1215 1701 1890 2430 2835 3402 5670 8505 17010 626963 1253926 1880889 3134815 3761778 4388741 5642667 6269630 8777482 9404445 11285334 13166223 16928001 18808890 21943705 26332446 28213335 33856002 39498669 43887410 50784003 56426670 65831115 78997338 84640005 101568006 118496007 131662230 152352009 169280010 197493345 236992014 253920015 304704018 355488021 394986690 507840030 592480035 710976042 761760045 1066464063 1184960070 1523520090 1777440105 2132928126 3554880210 5332320315 10664640630