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10512764544 = 273531633169
BaseRepresentation
bin10011100101001110…
…00000111010000000
31000010122121202211210
421302213000322000
5133012231431134
64455101010120
7521342011212
oct116247007200
930118552753
1010512764544
1145051aa667
122054853940
13cb6cc1549
1471a2bc5b2
15417de82e9
hex2729c0e80

10512764544 has 128 divisors (see below), whose sum is σ = 28634990400. Its totient is φ = 3415965696.

The previous prime is 10512764533. The next prime is 10512764573. The reversal of 10512764544 is 44546721501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105127645442 (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3315792 + ... + 3318960.

Almost surely, 210512764544 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 10512764544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317495200).

10512764544 is an abundant number, since it is smaller than the sum of its proper divisors (18122225856).

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

10512764544 is a wasteful number, since it uses less digits than its factorization.

10512764544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 10512764544 in words is "ten billion, five hundred twelve million, seven hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 163 192 212 318 326 384 424 489 636 652 848 978 1272 1304 1696 1956 2544 2608 3169 3392 3912 5088 5216 6338 6784 7824 8639 9507 10176 10432 12676 15648 17278 19014 20352 20864 25352 25917 31296 34556 38028 50704 51834 62592 69112 76056 101408 103668 138224 152112 167957 202816 207336 276448 304224 335914 405632 414672 503871 516547 552896 608448 671828 829344 1007742 1033094 1105792 1216896 1343656 1549641 1658688 2015484 2066188 2687312 3099282 3317376 4030968 4132376 5374624 6198564 8061936 8264752 10749248 12397128 16123872 16529504 21498496 24794256 27376991 32247744 33059008 49588512 54753982 64495488 66118016 82130973 99177024 109507964 164261946 198354048 219015928 328523892 438031856 657047784 876063712 1314095568 1752127424 2628191136 3504254848 5256382272 10512764544