Search a number
-
+
16622411280 = 2435479144593
BaseRepresentation
bin11110111101100010…
…11101111000010000
31120220102222222120020
433132301131320100
5233020314130110
611345231543440
71125630110316
oct173661357020
946812888506
1016622411280
11705aa10692
12327a98ab80
13174b9ca927
14b398b00b6
1567448dd70
hex3dec5de10

16622411280 has 80 divisors (see below), whose sum is σ = 51637409280. Its totient is φ = 4423358464.

The previous prime is 16622411237. The next prime is 16622411287. The reversal of 16622411280 is 8211422661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×166224112802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16622411287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42664 + ... + 187256.

It is an arithmetic number, because the mean of its divisors is an integer number (645467616).

Almost surely, 216622411280 is an apocalyptic number.

16622411280 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 16622411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25818704640).

16622411280 is an abundant number, since it is smaller than the sum of its proper divisors (35014998000).

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

16622411280 is a wasteful number, since it uses less digits than its factorization.

16622411280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145088 (or 145082 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 16622411280 in words is "sixteen billion, six hundred twenty-two million, four hundred eleven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 479 958 1437 1916 2395 2874 3832 4790 5748 7185 7664 9580 11496 14370 19160 22992 28740 38320 57480 114960 144593 289186 433779 578372 722965 867558 1156744 1445930 1735116 2168895 2313488 2891860 3470232 4337790 5783720 6940464 8675580 11567440 17351160 34702320 69260047 138520094 207780141 277040188 346300235 415560282 554080376 692600470 831120564 1038900705 1108160752 1385200940 1662241128 2077801410 2770401880 3324482256 4155602820 5540803760 8311205640 16622411280