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20075489344 = 268921992
BaseRepresentation
bin10010101100100101…
…111010100001000000
31220211002120112011101
4102230211322201000
5312103311124334
613120023224144
71310326562311
oct225445724100
956732515141
1020075489344
1185720aa309
123a832a8054
131b7c218ba1
14d86336608
157c76cd214
hex4ac97a840

20075489344 has 63 divisors (see below), whose sum is σ = 40493417997. Its totient is φ = 9875086848.

The previous prime is 20075489339. The next prime is 20075489353. The reversal of 20075489344 is 44398457002.

It is a happy number.

The square root of 20075489344 is 141688.

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

It can be written as a sum of positive squares in only one way, i.e., 3854919744 + 16220569600 = 62088^2 + 127360^2 .

It is a super-3 number, since 3×200754893443 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20075489294 and 20075489303.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100881757 + ... + 100881955.

Almost surely, 220075489344 is an apocalyptic number.

20075489344 is the 141688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20075489344

20075489344 is an abundant number, since it is smaller than the sum of its proper divisors (20417928653).

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

20075489344 is an frugal number, since it uses more digits than its factorization.

20075489344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 20075489344 in words is "twenty billion, seventy-five million, four hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 178 199 356 398 712 796 1424 1592 2848 3184 5696 6368 7921 12736 15842 17711 31684 35422 39601 63368 70844 79202 126736 141688 158404 253472 283376 316808 506944 566752 633616 1133504 1267232 1576279 2534464 3152558 3524489 6305116 7048978 12610232 14097956 25220464 28195912 50440928 56391824 100881856 112783648 225567296 313679521 627359042 1254718084 2509436168 5018872336 10037744672 20075489344