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13491643752 = 23325910692971
BaseRepresentation
bin11001001000010101…
…00010010101101000
31021211020220111220100
430210022202111220
5210112330100002
610110432425400
7655223036226
oct144412422550
937736814810
1013491643752
1157a3754704
1227463a8260
1313701bc472
1491db87b16
1553e6b911c
hex3242a2568

13491643752 has 96 divisors (see below), whose sum is σ = 37206468000. Its totient is φ = 4415368320.

The previous prime is 13491643729. The next prime is 13491643771. The reversal of 13491643752 is 25734619431.

13491643752 is a `hidden beast` number, since 134 + 91 + 64 + 375 + 2 = 666.

It is a super-2 number, since 2×134916437522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13491643698 and 13491643707.

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 23 ways as a sum of consecutive naturals, for example, 4539627 + ... + 4542597.

It is an arithmetic number, because the mean of its divisors is an integer number (387567375).

Almost surely, 213491643752 is an apocalyptic number.

13491643752 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 13491643752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18603234000).

13491643752 is an abundant number, since it is smaller than the sum of its proper divisors (23714824248).

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

13491643752 is a wasteful number, since it uses less digits than its factorization.

13491643752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4104 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 13491643752 in words is "thirteen billion, four hundred ninety-one million, six hundred forty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1069 1416 2124 2138 2971 3207 4248 4276 5942 6414 8552 8913 9621 11884 12828 17826 19242 23768 25656 26739 35652 38484 53478 63071 71304 76968 106956 126142 175289 189213 213912 252284 350578 378426 504568 525867 567639 701156 756852 1051734 1135278 1402312 1513704 1577601 2103468 2270556 3155202 3175999 4206936 4541112 6310404 6351998 9527997 12620808 12703996 19055994 25407992 28583991 38111988 57167982 76223976 114335964 187383941 228671928 374767882 562151823 749535764 1124303646 1499071528 1686455469 2248607292 3372910938 4497214584 6745821876 13491643752