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21145195080 = 2332558736653
BaseRepresentation
bin10011101100010110…
…100001001001001000
32000120122102012120100
4103230112201021020
5321301132220310
613414114525400
71345666123032
oct235426411110
960518365510
1021145195080
118a70a03039
124121596860
131cbca20969
14104842ac52
1583b57cec0
hex4ec5a1248

21145195080 has 48 divisors (see below), whose sum is σ = 68721885180. Its totient is φ = 5638718592.

The previous prime is 21145195033. The next prime is 21145195087. The reversal of 21145195080 is 8059154112.

21145195080 is a `hidden beast` number, since 2 + 1 + 14 + 519 + 50 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17727857316 + 3417337764 = 133146^2 + 58458^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21145195087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29367967 + ... + 29368686.

Almost surely, 221145195080 is an apocalyptic number.

21145195080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21145195080 is an abundant number, since it is smaller than the sum of its proper divisors (47576690100).

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

21145195080 is a wasteful number, since it uses less digits than its factorization.

21145195080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58736670 (or 58736663 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

It can be divided in two parts, 21145 and 195080, that added together give a square (216225 = 4652).

The spelling of 21145195080 in words is "twenty-one billion, one hundred forty-five million, one hundred ninety-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 58736653 117473306 176209959 234946612 293683265 352419918 469893224 528629877 587366530 704839836 881049795 1057259754 1174733060 1409679672 1762099590 2114519508 2349466120 2643149385 3524199180 4229039016 5286298770 7048398360 10572597540 21145195080