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10253344776 = 2331759342379
BaseRepresentation
bin10011000110010010…
…11010000000001000
3222110120110212211020
421203021122000020
5131444324013101
64413232432440
7512041664313
oct114311320010
928416425736
1010253344776
114391822764
121ba19a8720
13c7533141c
146d3a6d97a
15400253136
hex26325a008

10253344776 has 64 divisors (see below), whose sum is σ = 27187617600. Its totient is φ = 3211235328.

The previous prime is 10253344727. The next prime is 10253344789. The reversal of 10253344776 is 67744335201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220755 + ... + 263133.

It is an arithmetic number, because the mean of its divisors is an integer number (424806525).

Almost surely, 210253344776 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 10253344776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13593808800).

10253344776 is an abundant number, since it is smaller than the sum of its proper divisors (16934272824).

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

10253344776 is a wasteful number, since it uses less digits than its factorization.

10253344776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42998 (or 42994 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

Adding to 10253344776 its reverse (67744335201), we get a palindrome (77997679977).

The spelling of 10253344776 in words is "ten billion, two hundred fifty-three million, three hundred forty-four thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 593 1186 1779 2372 3558 4744 7116 10081 14232 20162 30243 40324 42379 60486 80648 84758 120972 127137 169516 241944 254274 339032 508548 720443 1017096 1440886 2161329 2881772 4322658 5763544 8645316 17290632 25130747 50261494 75392241 100522988 150784482 201045976 301568964 427222699 603137928 854445398 1281668097 1708890796 2563336194 3417781592 5126672388 10253344776