Search a number
-
+
21556016011272 = 23319791813305963
BaseRepresentation
bin1001110011010111001101…
…01011010101100000001000
32211022201211211002212000110
410321223212223111200020
510311133210044330042
6113502410321234320
74353241112625441
oct471534653254010
984281754085013
1021556016011272
11696094508a816
12250184a1929a0
13c04953950832
145474611d42c8
15275ac4d2209c
hex139ae6ad5808

21556016011272 has 128 divisors (see below), whose sum is σ = 57761803008000. Its totient is φ = 6683861733120.

The previous prime is 21556016011267. The next prime is 21556016011273. The reversal of 21556016011272 is 27211061065512.

It is a self number, because there is not a number n which added to its sum of digits gives 21556016011272.

It is not an unprimeable number, because it can be changed into a prime (21556016011273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4867363 + ... + 8173325.

It is an arithmetic number, because the mean of its divisors is an integer number (451264086000).

Almost surely, 221556016011272 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 21556016011272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28880901504000).

21556016011272 is an abundant number, since it is smaller than the sum of its proper divisors (36205786996728).

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

21556016011272 is a wasteful number, since it uses less digits than its factorization.

21556016011272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306251 (or 3306247 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

Adding to 21556016011272 its reverse (27211061065512), we get a palindrome (48767077076784).

The spelling of 21556016011272 in words is "twenty-one trillion, five hundred fifty-six billion, sixteen million, eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 79 114 152 158 181 228 237 316 362 456 474 543 632 724 948 1086 1448 1501 1896 2172 3002 3439 4344 4503 6004 6878 9006 10317 12008 13756 14299 18012 20634 27512 28598 36024 41268 42897 57196 82536 85794 114392 171588 271681 343176 543362 815043 1086724 1630086 2173448 3260172 3305963 6520344 6611926 9917889 13223852 19835778 26447704 39671556 62813297 79343112 125626594 188439891 251253188 261171077 376879782 502506376 522342154 598379303 753759564 783513231 1044684308 1196758606 1507519128 1567026462 1795137909 2089368616 2393517212 3134052924 3590275818 4787034424 4962250463 6268105848 7180551636 9924500926 11369206757 14361103272 14886751389 19849001852 22738413514 29773502778 34107620271 39698003704 45476827028 47271964937 59547005556 68215240542 90953654056 94543929874 119094011112 136430481084 141815894811 189087859748 272860962168 283631789622 378175719496 567263579244 898167333803 1134527158488 1796334667606 2694502001409 3592669335212 5389004002818 7185338670424 10778008005636 21556016011272