Search a number
-
+
13626466224 = 243786346993
BaseRepresentation
bin11001011000011001…
…10101111110110000
31022011122121012120020
430230030311332300
5210401333404344
610132050243440
7661451023530
oct145414657660
938148535506
1013626466224
11586286a838
122783586580
131392105c87
14933a414c0
1554b44b719
hex32c335fb0

13626466224 has 80 divisors (see below), whose sum is σ = 40277993472. Its totient is φ = 3888681984.

The previous prime is 13626466193. The next prime is 13626466241. The reversal of 13626466224 is 42266462631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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, 266472 + ... + 313464.

Almost surely, 213626466224 is an apocalyptic number.

13626466224 is a gapful number since it is divisible by the number (14) 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 13626466224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20138996736).

13626466224 is an abundant number, since it is smaller than the sum of its proper divisors (26651527248).

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

13626466224 is a wasteful number, since it uses less digits than its factorization.

13626466224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47874 (or 47868 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 13626466224 in words is "thirteen billion, six hundred twenty-six million, four hundred sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 863 1726 2589 3452 5178 6041 6904 10356 12082 13808 18123 20712 24164 36246 41424 46993 48328 72492 93986 96656 140979 144984 187972 281958 289968 328951 375944 563916 657902 751888 986853 1127832 1315804 1973706 2255664 2631608 3947412 5263216 7894824 15789648 40554959 81109918 121664877 162219836 243329754 283884713 324439672 486659508 567769426 648879344 851654139 973319016 1135538852 1703308278 1946638032 2271077704 3406616556 4542155408 6813233112 13626466224