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10630495077136 = 24112741012
BaseRepresentation
bin1001101010110001101011…
…1000100000001100010000
31101122021011110221201211221
42122230122320200030100
52343132223214432021
634335325414414424
72145012402152614
oct232543270401420
941567143851757
1010630495077136
113429405375400
121238317361414
135c15b38cb26c
1428a739491344
151367cc0ce241
hex9ab1ae20310

10630495077136 has 45 divisors (see below), whose sum is σ = 22639526185269. Its totient is φ = 4831978008000.

The previous prime is 10630495077077. The next prime is 10630495077211. The reversal of 10630495077136 is 63177059403601.

The square root of 10630495077136 is 3260444.

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., 4820852574736 + 5809642502400 = 2195644^2 + 2410320^2 .

It is a super-2 number, since 2×106304950771362 (a number of 27 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 143422486 + ... + 143496586.

Almost surely, 210630495077136 is an apocalyptic number.

10630495077136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10630495077136 is the 3260444-th square number.

It is an amenable number.

10630495077136 is an abundant number, since it is smaller than the sum of its proper divisors (12009031108133).

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

10630495077136 is an frugal number, since it uses more digits than its factorization.

10630495077136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148232 (or 74114 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 10630495077136 in words is "ten trillion, six hundred thirty billion, four hundred ninety-five million, seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 74101 148202 296404 592808 815111 1185616 1630222 3260444 6520888 8966221 13041776 17932442 35864884 71729768 143459536 5490958201 10981916402 21963832804 43927665608 60400540211 87855331216 120801080422 241602160844 483204321688 664405942321 966408643376 1328811884642 2657623769284 5315247538568 10630495077136