Search a number
-
+
20413154464100 = 2252204131544641
BaseRepresentation
bin1001010010000110011101…
…10100100001000101100100
32200021110220211110220000122
410221003032310201011210
510133422120020322400
6111225401304101112
74204541666022116
oct451031664410544
980243824426018
1020413154464100
116560196585a72
122358258164798
13b50c4bcc6838
145080054b73b6
15255ed6543685
hex1290ced21164

20413154464100 has 18 divisors (see below), whose sum is σ = 44296545187314. Its totient is φ = 8165261785600.

The previous prime is 20413154464037. The next prime is 20413154464127. The reversal of 20413154464100 is 146445131402.

It can be written as a sum of positive squares in 3 ways, for example, as 2066941034596 + 18346213429504 = 1437686^2 + 4283248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102065772221 + ... + 102065772420.

It is an arithmetic number, because the mean of its divisors is an integer number (2460919177073).

Almost surely, 220413154464100 is an apocalyptic number.

20413154464100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20413154464100 is an abundant number, since it is smaller than the sum of its proper divisors (23883390723214).

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

20413154464100 is a wasteful number, since it uses less digits than its factorization.

20413154464100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204131544655 (or 204131544648 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 20413154464100 its reverse (146445131402), we get a palindrome (20559599595502).

The spelling of 20413154464100 in words is "twenty trillion, four hundred thirteen billion, one hundred fifty-four million, four hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 204131544641 408263089282 816526178564 1020657723205 2041315446410 4082630892820 5103288616025 10206577232050 20413154464100