Search a number
-
+
20003555440116 = 22332813311991357
BaseRepresentation
bin1001000110001011100001…
…10100001111010111110100
32121211022200011122120121000
410203011300310033113310
510110214240143040431
6110313301223323300
74133131515534333
oct443056064172764
977738604576530
1020003555440116
1164125076108a6
1222b09a62b0530
13b21433a91961
144d226a52bd1a
1524a5120949e6
hex123170d0f5f4

20003555440116 has 96 divisors (see below), whose sum is σ = 52202892389760. Its totient is φ = 6624046598400.

The previous prime is 20003555440111. The next prime is 20003555440117. The reversal of 20003555440116 is 61104455530002.

20003555440116 is a `hidden beast` number, since 20 + 0 + 0 + 35 + 55 + 440 + 116 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20003555440111) 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, 9049510 + ... + 11040866.

It is an arithmetic number, because the mean of its divisors is an integer number (543780129060).

Almost surely, 220003555440116 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 20003555440116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26101446194880).

20003555440116 is an abundant number, since it is smaller than the sum of its proper divisors (32199336949644).

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

20003555440116 is a wasteful number, since it uses less digits than its factorization.

20003555440116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991982 (or 1991974 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 20003555440116 in words is "twenty trillion, three billion, five hundred fifty-five million, four hundred forty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 281 331 562 662 843 993 1124 1324 1686 1986 2529 2979 3372 3972 5058 5958 7587 8937 10116 11916 15174 17874 30348 35748 93011 186022 279033 372044 558066 837099 1116132 1674198 1991357 2511297 3348396 3982714 5022594 5974071 7965428 10045188 11948142 17922213 23896284 35844426 53766639 71688852 107533278 215066556 559571317 659139167 1119142634 1318278334 1678713951 1977417501 2238285268 2636556668 3357427902 3954835002 5036141853 5932252503 6714855804 7909670004 10072283706 11864505006 15108425559 17796757509 20144567412 23729010012 30216851118 35593515018 60433702236 71187030036 185218105927 370436211854 555654317781 740872423708 1111308635562 1666962953343 2222617271124 3333925906686 5000888860029 6667851813372 10001777720058 20003555440116