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10753275204 = 2234728232
BaseRepresentation
bin10100000001111000…
…11111010101000100
31000202102011222110000
422000330133111010
5134010314301304
64535012001300
7530322221400
oct120074372504
930672158400
1010753275204
114618a41901
122101300230
131024a90949
14740208100
1542e0a5939
hex280f1f544

10753275204 has 135 divisors (see below), whose sum is σ = 32740548687. Its totient is φ = 3068631216.

The previous prime is 10753275191. The next prime is 10753275229. The reversal of 10753275204 is 40257235701.

The square root of 10753275204 is 103698.

It is a perfect power (a square), and thus also a powerful number.

10753275204 is a `hidden beast` number, since 107 + 5 + 3 + 27 + 520 + 4 = 666.

It is a super-2 number, since 2×107532752042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13065537 + ... + 13066359.

Almost surely, 210753275204 is an apocalyptic number.

10753275204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10753275204 is the 103698-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10753275204

10753275204 is an abundant number, since it is smaller than the sum of its proper divisors (21987273483).

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

10753275204 is an frugal number, since it uses more digits than its factorization.

10753275204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Multiplying 10753275204 by its sum of digits (36), we get a square (387117907344 = 6221882).

10753275204 divided by its sum of digits (36) gives a square (298702089 = 172832).

The spelling of 10753275204 in words is "ten billion, seven hundred fifty-three million, two hundred seventy-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 823 882 1134 1323 1646 1764 2268 2469 2646 3292 3969 4938 5292 5761 7407 7938 9876 11522 14814 15876 17283 22221 23044 29628 34566 40327 44442 51849 66663 69132 80654 88884 103698 120981 133326 155547 161308 207396 241962 266652 311094 362943 466641 483924 622188 677329 725886 933282 1088829 1354658 1451772 1866564 2031987 2177658 2709316 3266487 4063974 4355316 4741303 6095961 6532974 8127948 9482606 12191922 13065948 14223909 18287883 18965212 24383844 28447818 33189121 36575766 42671727 54863649 56895636 66378242 73151532 85343454 99567363 109727298 128015181 132756484 170686908 199134726 219454596 256030362 298702089 384045543 398269452 512060724 597404178 768091086 896106267 1194808356 1536182172 1792212534 2688318801 3584425068 5376637602 10753275204