Search a number
-
+
210049889344 = 265929712
BaseRepresentation
bin1100001110011111110…
…0101111010001000000
3202002011201220221221021
43003213330233101000
511420140232424334
6240255014035224
721114142412641
oct3034774572100
9662151827837
10210049889344
1181099760879
1234861348b14
1316a66456569
14a248b0d6c8
1556e58d93b4
hex30e7f2f440

210049889344 has 63 divisors (see below), whose sum is σ = 424439312791. Its totient is φ = 103138532480.

The previous prime is 210049889339. The next prime is 210049889347. The reversal of 210049889344 is 443988940012.

The square root of 210049889344 is 458312.

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

210049889344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210049889291 and 210049889300.

It is not an unprimeable number, because it can be changed into a prime (210049889347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 216322779 + ... + 216323749.

Almost surely, 2210049889344 is an apocalyptic number.

210049889344 is the 458312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210049889344

210049889344 is an abundant number, since it is smaller than the sum of its proper divisors (214389423447).

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

210049889344 is an frugal number, since it uses more digits than its factorization.

210049889344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 210049889344 in words is "two hundred ten billion, forty-nine million, eight hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 971 1888 1942 3481 3776 3884 6962 7768 13924 15536 27848 31072 55696 57289 62144 111392 114578 222784 229156 458312 916624 942841 1833248 1885682 3380051 3666496 3771364 6760102 7542728 13520204 15085456 27040408 30170912 54080816 55627619 60341824 108161632 111255238 216323264 222510476 445020952 890041904 1780083808 3282029521 3560167616 6564059042 13128118084 26256236168 52512472336 105024944672 210049889344