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10746786048 = 28323958549
BaseRepresentation
bin10100000001000111…
…01111000100000000
31000201221222021222220
422000203233010000
5134002134123143
64534220531040
7530213113515
oct120043570400
930657867886
1010746786048
11461530a469
1220bb0b0a80
13102362b0cb
1473d3d930c
1542d722d83
hex2808ef100

10746786048 has 72 divisors (see below), whose sum is σ = 28722288000. Its totient is φ = 3567212544.

The previous prime is 10746786019. The next prime is 10746786067. The reversal of 10746786048 is 84068764701.

It is a happy number.

It is a super-2 number, since 2×107467860482 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 154278 + ... + 212826.

Almost surely, 210746786048 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 10746786048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361144000).

10746786048 is an abundant number, since it is smaller than the sum of its proper divisors (17975501952).

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

10746786048 is an equidigital number, since it uses as much as digits as its factorization.

10746786048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58807 (or 58793 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 10746786048 in words is "ten billion, seven hundred forty-six million, seven hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 256 384 478 717 768 956 1434 1912 2868 3824 5736 7648 11472 15296 22944 30592 45888 58549 61184 91776 117098 175647 183552 234196 351294 468392 702588 936784 1405176 1873568 2810352 3747136 5620704 7494272 11241408 13993211 14988544 22482816 27986422 41979633 44965632 55972844 83959266 111945688 167918532 223891376 335837064 447782752 671674128 895565504 1343348256 1791131008 2686696512 3582262016 5373393024 10746786048