Search a number
-
+
20016233144244 = 22323891543926327
BaseRepresentation
bin1001000110100011001000…
…11101110101111110110100
32121212112101200222200020100
410203101210131311332310
510110421221141103434
6110323155222434100
74134060626332011
oct443214435657664
977775350880210
1020016233144244
116417922873627
1222b3343b92930
13b226a445a42c
144d2b1015c708
1524aa05081699
hex123464775fb4

20016233144244 has 72 divisors (see below), whose sum is σ = 50759587831680. Its totient is φ = 6650605685952.

The previous prime is 20016233144231. The next prime is 20016233144263. The reversal of 20016233144244 is 44244133261002.

20016233144244 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 623 + 3 + 1 + 4 + 4 + 24 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20016233144199 and 20016233144208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21145009 + ... + 22071335.

It is an arithmetic number, because the mean of its divisors is an integer number (704994275440).

Almost surely, 220016233144244 is an apocalyptic number.

It is an amenable number.

20016233144244 is an abundant number, since it is smaller than the sum of its proper divisors (30743354687436).

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

20016233144244 is a wasteful number, since it uses less digits than its factorization.

20016233144244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928269 (or 928264 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 20016233144244 in words is "twenty trillion, sixteen billion, two hundred thirty-three million, one hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 389 778 1167 1543 1556 2334 3086 3501 4629 4668 6172 7002 9258 13887 14004 18516 27774 55548 600227 926327 1200454 1800681 1852654 2400908 2778981 3601362 3705308 5402043 5557962 7202724 8336943 10804086 11115924 16673886 21608172 33347772 360341203 720682406 1081023609 1429322561 1441364812 2162047218 2858645122 3243070827 4287967683 4324094436 5717290244 6486141654 8575935366 12863903049 12972283308 17151870732 25727806098 51455612196 556006476229 1112012952458 1668019428687 2224025904916 3336038857374 5004058286061 6672077714748 10008116572122 20016233144244