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10800653248 = 2671117128923
BaseRepresentation
bin10100000111100010…
…01110001111000000
31000212201100000220101
422003301032033000
5134104431400443
64543423252144
7531436015660
oct120361161700
930781300811
1010800653248
114642761710
12211514a054
13103183b7a8
1474661c1a0
1543331384d
hex283c4e3c0

10800653248 has 112 divisors (see below), whose sum is σ = 28293145344. Its totient is φ = 3960483840.

The previous prime is 10800653207. The next prime is 10800653249. The reversal of 10800653248 is 84235600801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×108006532482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10800653249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19315 + ... + 148237.

Almost surely, 210800653248 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 10800653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14146572672).

10800653248 is an abundant number, since it is smaller than the sum of its proper divisors (17492492096).

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

10800653248 is a wasteful number, since it uses less digits than its factorization.

10800653248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128970 (or 128960 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 10800653248 in words is "ten billion, eight hundred million, six hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 448 476 544 616 704 748 952 1088 1232 1309 1496 1904 2464 2618 2992 3808 4928 5236 5984 7616 10472 11968 20944 41888 83776 128923 257846 515692 902461 1031384 1418153 1804922 2062768 2191691 2836306 3609844 4125536 4383382 5672612 7219688 8251072 8766764 9927071 11345224 14439376 15341837 17533528 19854142 22690448 24108601 28878752 30683674 35067056 39708284 45380896 48217202 57757504 61367348 70134112 79416568 90761792 96434404 122734696 140268224 158833136 168760207 192868808 245469392 317666272 337520414 385737616 490938784 635332544 675040828 771475232 981877568 1350081656 1542950464 2700163312 5400326624 10800653248