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3086103527744 = 261753113473617
BaseRepresentation
bin101100111010001010000…
…110101100000101000000
3101221000202212020200111012
4230322022012230011000
5401030320000341434
610321423020540052
7435651344111156
oct54721206540500
911830685220435
103086103527744
11a8a899a94566
1241a1359b1628
1319503130aba3
14a952250d3d6
155542399a3ce
hex2ce8a1ac140

3086103527744 has 112 divisors (see below), whose sum is σ = 6665044244688. Its totient is φ = 1412269867008.

The previous prime is 3086103527719. The next prime is 3086103527747. The reversal of 3086103527744 is 4477253016803.

It can be written as a sum of positive squares in 8 ways, for example, as 60201529600 + 3025901998144 = 245360^2 + 1739512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3086103527692 and 3086103527701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3086103527747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6279224 + ... + 6752840.

Almost surely, 23086103527744 is an apocalyptic number.

3086103527744 is a gapful number since it is divisible by the number (34) 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 3086103527744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332522122344).

3086103527744 is an abundant number, since it is smaller than the sum of its proper divisors (3578940716944).

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

3086103527744 is a wasteful number, since it uses less digits than its factorization.

3086103527744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473812 (or 473802 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 50.

The spelling of 3086103527744 in words is "three trillion, eighty-six billion, one hundred three million, five hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 113 136 212 226 272 424 452 544 848 901 904 1088 1696 1802 1808 1921 3392 3604 3616 3842 5989 7208 7232 7684 11978 14416 15368 23956 28832 30736 47912 57664 61472 95824 101813 122944 191648 203626 383296 407252 473617 814504 947234 1629008 1894468 3258016 3788936 6516032 7577872 8051489 15155744 16102978 25101701 30311488 32205956 50203402 53518721 64411912 100406804 107037442 128823824 200813608 214074884 257647648 401627216 426728917 428149768 515295296 803254432 853457834 856299536 909818257 1606508864 1706915668 1712599072 1819636514 2836492213 3413831336 3425198144 3639273028 5672984426 6827662672 7278546056 11345968852 13655325344 14557092112 22691937704 27310650688 29114184224 45383875408 48220367621 58228368448 90767750816 96440735242 181535501632 192881470484 385762940968 771525881936 1543051763872 3086103527744