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10532312712 = 233419881971
BaseRepresentation
bin10011100111100011…
…00101011010001000
31000012000101220220000
421303301211122020
5133032233001322
64501040003000
7522000116025
oct116361453210
930160356800
1010532312712
114515241479
12205b300460
13cbb0770cc
1471cb2a54c
154199aa3ac
hex273c65688

10532312712 has 160 divisors (see below), whose sum is σ = 31120135200. Its totient is φ = 3318796800.

The previous prime is 10532312677. The next prime is 10532312729. The reversal of 10532312712 is 21721323501.

10532312712 is a `hidden beast` number, since 1 + 0 + 532 + 3 + 127 + 1 + 2 = 666.

It is a super-2 number, since 2×105323127122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10846387 + ... + 10847357.

It is an arithmetic number, because the mean of its divisors is an integer number (194500845).

Almost surely, 210532312712 is an apocalyptic number.

10532312712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10532312712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15560067600).

10532312712 is an abundant number, since it is smaller than the sum of its proper divisors (20587822488).

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

10532312712 is a wasteful number, since it uses less digits than its factorization.

10532312712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10532312712 in words is "ten billion, five hundred thirty-two million, three hundred twelve thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 881 971 1026 1368 1539 1762 1942 2052 2643 2913 3078 3524 3884 4104 5286 5826 6156 7048 7768 7929 8739 10572 11652 12312 15858 16739 17478 18449 21144 23304 23787 26217 31716 33478 34956 36898 47574 50217 52434 55347 63432 66956 69912 71361 73796 78651 95148 100434 104868 110694 133912 142722 147592 150651 157302 166041 190296 200868 209736 221388 285444 301302 314604 332082 401736 442776 451953 498123 570888 602604 629208 664164 855451 903906 996246 1205208 1328328 1355859 1494369 1710902 1807812 1992492 2566353 2711718 2988738 3421804 3615624 3984984 5132706 5423436 5977476 6843608 7699059 10265412 10846872 11954952 15398118 16253569 20530824 23097177 30796236 32507138 46194354 48760707 61592472 65014276 69291531 92388708 97521414 130028552 138583062 146282121 184777416 195042828 277166124 292564242 390085656 438846363 554332248 585128484 877692726 1170256968 1316539089 1755385452 2633078178 3510770904 5266156356 10532312712