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13036241744032 = 2513194289384547
BaseRepresentation
bin1011110110110011110010…
…0011101111000010100000
31201011020211002201212210111
42331230330203233002200
53202041210341302112
643420433342541104
72513560136343613
oct275547443570240
951136732655714
1013036241744032
114176703679471
121566616b97794
1373740a22ab80
14330d5940a17a
1517918124b5a7
hexbdb3c8ef0a0

13036241744032 has 96 divisors (see below), whose sum is σ = 29100900628800. Its totient is φ = 5698713305088.

The previous prime is 13036241744017. The next prime is 13036241744063. The reversal of 13036241744032 is 23044714263031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33707983 + ... + 34092529.

It is an arithmetic number, because the mean of its divisors is an integer number (303134381550).

Almost surely, 213036241744032 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 13036241744032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14550450314400).

13036241744032 is an abundant number, since it is smaller than the sum of its proper divisors (16064658884768).

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

13036241744032 is a wasteful number, since it uses less digits than its factorization.

13036241744032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388878 (or 388870 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 13036241744032 in words is "thirteen trillion, thirty-six billion, two hundred forty-one million, seven hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 4289 7904 8578 17156 34312 55757 68624 81491 111514 137248 162982 223028 325964 384547 446056 651928 769094 892112 1059383 1303856 1538188 1784224 2118766 2607712 3076376 4237532 4999111 6152752 7306393 8475064 9998222 12305504 14612786 16950128 19996444 29225572 33900256 39992888 58451144 79985776 94983109 116902288 159971552 189966218 233804576 379932436 759864872 1519729744 1649322083 3039459488 3298644166 6597288332 13194576664 21441187079 26389153328 31337119577 42882374158 52778306656 62674239154 85764748316 125348478308 171529496632 250696956616 343058993264 407382554501 501393913232 686117986528 814765109002 1002787826464 1629530218004 3259060436008 6518120872016 13036241744032