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10532312377312 = 2511731133627269
BaseRepresentation
bin1001100101000011111010…
…1111001110011111100000
31101021212201221212210210011
42121100332233032133200
52340030133432033222
634222251050414304
72134635343034425
oct231207657163740
941255657783704
1010532312377312
1133a080183a880
121221296131394
135b526775818b
14285aa392bd4c
15133e826b8c77
hex9943ebce7e0

10532312377312 has 96 divisors (see below), whose sum is σ = 23133335188320. Its totient is φ = 4680046264320.

The previous prime is 10532312377309. The next prime is 10532312377337. The reversal of 10532312377312 is 21377321323501.

It is a super-2 number, since 2×105323123773122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1090014 + ... + 4717282.

It is an arithmetic number, because the mean of its divisors is an integer number (240972241545).

Almost surely, 210532312377312 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 10532312377312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566667594160).

10532312377312 is an abundant number, since it is smaller than the sum of its proper divisors (12601022811008).

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

10532312377312 is a wasteful number, since it uses less digits than its factorization.

10532312377312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627476 (or 3627468 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 40.

The spelling of 10532312377312 in words is "ten trillion, five hundred thirty-two billion, three hundred twelve million, three hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 113 146 176 226 292 352 452 584 803 904 1168 1243 1606 1808 2336 2486 3212 3616 4972 6424 8249 9944 12848 16498 19888 25696 32996 39776 65992 90739 131984 181478 263968 362956 725912 1451824 2903648 3627269 7254538 14509076 29018152 39899959 58036304 79799918 116072608 159599836 264790637 319199672 409881397 529581274 638399344 819762794 1059162548 1276798688 1639525588 2118325096 2912697007 3279051176 4236650192 4508695367 5825394014 6558102352 8473300384 9017390734 11650788028 13116204704 18034781468 23301576056 29921341981 36069562936 46603152112 59842683962 72139125872 93206304224 119685367924 144278251744 239370735848 329134761791 478741471696 658269523582 957482943392 1316539047164 2633078094328 5266156188656 10532312377312