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20541205104 = 2437599102061
BaseRepresentation
bin10011001000010110…
…011110101001110000
31222000112220100002020
4103020112132221300
5314032022030404
613234141151440
71325013235230
oct231026365160
958015810066
1020541205104
118790a7a472
123b9325b580
131c24858c44
14dcc125cc0
15803522ed9
hex4c859ea70

20541205104 has 80 divisors (see below), whose sum is σ = 60747302400. Its totient is φ = 5859060480.

The previous prime is 20541205103. The next prime is 20541205109. The reversal of 20541205104 is 40150214502.

It is a super-2 number, since 2×205412051042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20541205103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150234 + ... + 252294.

It is an arithmetic number, because the mean of its divisors is an integer number (759341280).

Almost surely, 220541205104 is an apocalyptic number.

20541205104 is a gapful number since it is divisible by the number (24) 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 20541205104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30373651200).

20541205104 is an abundant number, since it is smaller than the sum of its proper divisors (40206097296).

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

20541205104 is a wasteful number, since it uses less digits than its factorization.

20541205104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102678 (or 102672 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 20541205104 its reverse (40150214502), we get a palindrome (60691419606).

The spelling of 20541205104 in words is "twenty billion, five hundred forty-one million, two hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 599 1198 1797 2396 3594 4193 4792 7188 8386 9584 12579 14376 16772 25158 28752 33544 50316 67088 100632 102061 201264 204122 306183 408244 612366 714427 816488 1224732 1428854 1632976 2143281 2449464 2857708 4286562 4898928 5715416 8573124 11430832 17146248 34292496 61134539 122269078 183403617 244538156 366807234 427941773 489076312 733614468 855883546 978152624 1283825319 1467228936 1711767092 2567650638 2934457872 3423534184 5135301276 6847068368 10270602552 20541205104