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10900608768 = 28327675881
BaseRepresentation
bin10100010011011101…
…00001011100000000
31001010200102022002200
422021232201130000
5134311023440033
65001353513200
7534061434330
oct121156413400
931120368080
1010900608768
114694122785
122142712800
131049467c7a
147559db0c0
1543beaa013
hex289ba1700

10900608768 has 108 divisors (see below), whose sum is σ = 35919073008. Its totient is φ = 3114455040.

The previous prime is 10900608749. The next prime is 10900608791. The reversal of 10900608768 is 86780600901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321813 + ... + 354068.

Almost surely, 210900608768 is an apocalyptic number.

10900608768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10900608768 is an abundant number, since it is smaller than the sum of its proper divisors (25018464240).

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

10900608768 is an equidigital number, since it uses as much as digits as its factorization.

10900608768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675910 (or 675893 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10900608768 in words is "ten billion, nine hundred million, six hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 675881 1351762 2027643 2703524 4055286 4731167 5407048 6082929 8110572 9462334 10814096 12165858 14193501 16221144 18924668 21628192 24331716 28387002 32442288 37849336 42580503 43256384 48663432 56774004 64884576 75698672 85161006 86512768 97326864 113548008 129769152 151397344 170322012 173025536 194653728 227096016 259538304 302794688 340644024 389307456 454192032 519076608 605589376 681288048 778614912 908384064 1211178752 1362576096 1557229824 1816768128 2725152192 3633536256 5450304384 10900608768