Search a number
-
+
13634052252580 = 22531471193339209
BaseRepresentation
bin1100011001100110110011…
…0101110110001110100100
31210021101212112200020122201
43012121230311312032210
53241340014334040310
644555221440504244
72605012345000624
oct306315465661644
953241775606581
1013634052252580
11438719506a6a1
12164245461b084
1377b8bb395bb6
14351c6a98a884
151899bdc75e3a
hexc666cd763a4

13634052252580 has 96 divisors (see below), whose sum is σ = 30187238215680. Its totient is φ = 5164841610240.

The previous prime is 13634052252571. The next prime is 13634052252599. The reversal of 13634052252580 is 8525225043631.

It is a self number, because there is not a number n which added to its sum of digits gives 13634052252580.

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 31 ways as a sum of consecutive naturals, for example, 347708016 + ... + 347747224.

It is an arithmetic number, because the mean of its divisors is an integer number (314450398080).

Almost surely, 213634052252580 is an apocalyptic number.

13634052252580 is a gapful number since it is divisible by the number (10) 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 13634052252580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15093619107840).

13634052252580 is an abundant number, since it is smaller than the sum of its proper divisors (16553185963100).

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

13634052252580 is a wasteful number, since it uses less digits than its factorization.

13634052252580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51229 (or 51227 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 13634052252580 in words is "thirteen trillion, six hundred thirty-four billion, fifty-two million, two hundred fifty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 620 940 1457 2914 5828 7285 11933 14570 23866 29140 39209 47732 59665 78418 119330 156836 196045 238660 369923 392090 560851 739846 784180 1121702 1215479 1479692 1842823 1849615 2243404 2430958 2804255 3685646 3699230 4861916 5608510 6077395 7371292 7398460 9214115 11217020 12154790 17386381 18428230 24309580 34772762 36856460 57127513 69545524 86931905 114255026 173863810 228510052 285637565 347727620 467880997 571275130 935761994 1142550260 1871523988 2339404985 4678809970 9357619940 14504310907 21990406859 29008621814 43980813718 58017243628 72521554535 87961627436 109952034295 145043109070 219904068590 290086218140 439808137180 681702612629 1363405225258 2726810450516 3408513063145 6817026126290 13634052252580