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20842408480 = 2551011289753
BaseRepresentation
bin10011011010010011…
…011110101000100000
31222210112200001102211
4103122103132220200
5320141124032410
613324101051504
71335331356205
oct233223365040
958715601384
1020842408480
118925aa5a83
1240580b6b94
131c720886aa
14101a12dcac
1581ebbd68a
hex4da4dea20

20842408480 has 48 divisors (see below), whose sum is σ = 49727755224. Its totient is φ = 8254412800.

The previous prime is 20842408361. The next prime is 20842408567. The reversal of 20842408480 is 8480424802.

It can be written as a sum of positive squares in 4 ways, for example, as 15578035344 + 5264373136 = 124812^2 + 72556^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628717 + ... + 661036.

Almost surely, 220842408480 is an apocalyptic number.

20842408480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20842408480 is an abundant number, since it is smaller than the sum of its proper divisors (28885346744).

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

20842408480 is a wasteful number, since it uses less digits than its factorization.

20842408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289869 (or 1289861 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 20842408480 in words is "twenty billion, eight hundred forty-two million, four hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 16160 1289753 2579506 5159012 6448765 10318024 12897530 20636048 25795060 41272096 51590120 103180240 130265053 206360480 260530106 521060212 651325265 1042120424 1302650530 2084240848 2605301060 4168481696 5210602120 10421204240 20842408480