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10531913376 = 2534117315467
BaseRepresentation
bin10011100111100000…
…00011111010100000
31000011222122122002210
421303300003322200
5133032132212001
64501023242120
7521663533545
oct116360037240
930158578083
1010531913376
114514a99446
12205b149340
13cbac6740a
1471ca64bcc
1541992bdd6
hex273c03ea0

10531913376 has 96 divisors (see below), whose sum is σ = 28486116288. Its totient is φ = 3404994560.

The previous prime is 10531913369. The next prime is 10531913393. The reversal of 10531913376 is 67331913501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105319133762 (a number of 21 digits) contains 22 as substring.

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, 673195 + ... + 688661.

It is an arithmetic number, because the mean of its divisors is an integer number (296730378).

Almost surely, 210531913376 is an apocalyptic number.

10531913376 is a gapful number since it is divisible by the number (16) 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 10531913376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14243058144).

10531913376 is an abundant number, since it is smaller than the sum of its proper divisors (17954202912).

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

10531913376 is a wasteful number, since it uses less digits than its factorization.

10531913376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15694 (or 15686 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The spelling of 10531913376 in words is "ten billion, five hundred thirty-one million, nine hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 173 246 328 346 492 519 656 692 984 1038 1312 1384 1968 2076 2768 3936 4152 5536 7093 8304 14186 15467 16608 21279 28372 30934 42558 46401 56744 61868 85116 92802 113488 123736 170232 185604 226976 247472 340464 371208 494944 634147 680928 742416 1268294 1484832 1902441 2536588 2675791 3804882 5073176 5351582 7609764 8027373 10146352 10703164 15219528 16054746 20292704 21406328 30439056 32109492 42812656 60878112 64218984 85625312 109707431 128437968 219414862 256875936 329122293 438829724 658244586 877659448 1316489172 1755318896 2632978344 3510637792 5265956688 10531913376