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20355299584 = 283722412
BaseRepresentation
bin10010111101010001…
…010011100100000000
31221112121002100122121
4102331101103210000
5313141424041314
613203500414024
71320265122514
oct227521234400
957477070577
1020355299584
1186a6043944
123b40b47314
131bc5198089
14db1572144
157e204ed24
hex4bd453900

20355299584 has 81 divisors (see below), whose sum is σ = 41932895571. Its totient is φ = 9861488640.

The previous prime is 20355299581. The next prime is 20355299593. The reversal of 20355299584 is 48599255302.

The square root of 20355299584 is 142672.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8836000000 + 11519299584 = 94000^2 + 107328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20355299581) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 84461704 + ... + 84461944.

Almost surely, 220355299584 is an apocalyptic number.

20355299584 is the 142672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20355299584

20355299584 is an abundant number, since it is smaller than the sum of its proper divisors (21577595987).

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

20355299584 is an frugal number, since it uses more digits than its factorization.

20355299584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 52.

The spelling of 20355299584 in words is "twenty billion, three hundred fifty-five million, two hundred ninety-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 241 256 296 482 592 964 1184 1369 1928 2368 2738 3856 4736 5476 7712 8917 9472 10952 15424 17834 21904 30848 35668 43808 58081 61696 71336 87616 116162 142672 175232 232324 285344 329929 350464 464648 570688 659858 929296 1141376 1319716 1858592 2148997 2282752 2639432 3717184 4297994 5278864 7434368 8595988 10557728 14868736 17191976 21115456 34383952 42230912 68767904 79512889 84461824 137535808 159025778 275071616 318051556 550143232 636103112 1272206224 2544412448 5088824896 10177649792 20355299584