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10764381768 = 23372272771019
BaseRepresentation
bin10100000011001101…
…10110111001001000
31000210012002020210020
422001212312321020
5134021140204033
64540050020440
7530515510140
oct120146667110
930705066706
1010764381768
114624238388
122104b77720
13102717c08a
14741899920
1543004b6b3
hex2819b6e48

10764381768 has 128 divisors (see below), whose sum is σ = 31032806400. Its totient is φ = 3047940864.

The previous prime is 10764381767. The next prime is 10764381833. The reversal of 10764381768 is 86718346701.

It is a self number, because there is not a number n which added to its sum of digits gives 10764381768.

It is not an unprimeable number, because it can be changed into a prime (10764381767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10563163 + ... + 10564181.

It is an arithmetic number, because the mean of its divisors is an integer number (242443800).

Almost surely, 210764381768 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 10764381768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15516403200).

10764381768 is an abundant number, since it is smaller than the sum of its proper divisors (20268424632).

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

10764381768 is a wasteful number, since it uses less digits than its factorization.

10764381768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 10764381768 in words is "ten billion, seven hundred sixty-four million, three hundred eighty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 227 277 454 554 681 831 908 1019 1108 1362 1589 1662 1816 1939 2038 2216 2724 3057 3178 3324 3878 4076 4767 5448 5817 6114 6356 6648 7133 7756 8152 9534 11634 12228 12712 14266 15512 19068 21399 23268 24456 28532 38136 42798 46536 57064 62879 85596 125758 171192 188637 231313 251516 282263 377274 440153 462626 503032 564526 693939 754548 846789 880306 925252 1129052 1320459 1387878 1509096 1619191 1693578 1760612 1850504 1975841 2258104 2640918 2775756 3238382 3387156 3521224 3951682 4857573 5281836 5551512 5927523 6476764 6774312 7903364 9715146 10563672 11855046 12953528 15806728 19430292 23710092 38860584 47420184 64073701 128147402 192221103 256294804 384442206 448515907 512589608 768884412 897031814 1345547721 1537768824 1794063628 2691095442 3588127256 5382190884 10764381768