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10761786352 = 2417193136653
BaseRepresentation
bin10100000010111001…
…11101001111110000
31000210000012101112201
422001130331033300
5134020004130402
64535514232544
7530454450262
oct120134751760
930700171481
1010761786352
114622825409
122104125754
131026780925
147413c1b32
1542ebd7687
hex28173d3f0

10761786352 has 80 divisors (see below), whose sum is σ = 23317212960. Its totient is φ = 4781776896.

The previous prime is 10761786341. The next prime is 10761786361. The reversal of 10761786352 is 25368716701.

10761786352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1614258 + ... + 1620910.

It is an arithmetic number, because the mean of its divisors is an integer number (291465162).

Almost surely, 210761786352 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 10761786352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11658606480).

10761786352 is an abundant number, since it is smaller than the sum of its proper divisors (12555426608).

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

10761786352 is a wasteful number, since it uses less digits than its factorization.

10761786352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 10761786352 in words is "ten billion, seven hundred sixty-one million, seven hundred eighty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 313 323 626 646 1252 1292 2504 2584 5008 5168 5321 5947 6653 10642 11894 13306 21284 23788 26612 42568 47576 53224 85136 95152 101099 106448 113101 126407 202198 226202 252814 404396 452404 505628 808792 904808 1011256 1617584 1809616 2022512 2082389 2148919 4164778 4297838 8329556 8595676 16659112 17191352 33318224 34382704 35400613 39565391 70801226 79130782 141602452 158261564 283204904 316523128 566409808 633046256 672611647 1345223294 2690446588 5380893176 10761786352