Search a number
-
+
210364505664 = 2635918570313
BaseRepresentation
bin1100001111101010110…
…0111001111001000000
3202002222122221010101120
43003322230321321000
511421311303140124
6240350133232240
721125012536455
oct3037254717100
9662878833346
10210364505664
1181240308765
123492a792680
1316ab66a1171
14a27880982c
155713333d79
hex30fab39e40

210364505664 has 56 divisors (see below), whose sum is σ = 566023170720. Its totient is φ = 68932998144.

The previous prime is 210364505629. The next prime is 210364505677. The reversal of 210364505664 is 466505463012.

210364505664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9273829 + ... + 9296484.

It is an arithmetic number, because the mean of its divisors is an integer number (10107556620).

Almost surely, 2210364505664 is an apocalyptic number.

210364505664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210364505664 is an abundant number, since it is smaller than the sum of its proper divisors (355658665056).

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

210364505664 is a wasteful number, since it uses less digits than its factorization.

210364505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18570387 (or 18570377 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 210364505664 its reverse (466505463012), we get a palindrome (676869968676).

The spelling of 210364505664 in words is "two hundred ten billion, three hundred sixty-four million, five hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 11328 18570313 37140626 55710939 74281252 111421878 148562504 222843756 297125008 445687512 594250016 891375024 1095648467 1188500032 1782750048 2191296934 3286945401 3565500096 4382593868 6573890802 8765187736 13147781604 17530375472 26295563208 35060750944 52591126416 70121501888 105182252832 210364505664