Search a number
-
+
213336637104 = 24353671916553
BaseRepresentation
bin1100011010101111011…
…0101011111010110000
3202101122210112001020210
43012223312223322300
511443403134341404
6242001104304120
721261452331633
oct3065366537260
9671583461223
10213336637104
1182525a74038
123541a012040
131716b378916
14a47b439c1a
155839220689
hex31abdabeb0

213336637104 has 160 divisors (see below), whose sum is σ = 572970184704. Its totient is φ = 68358850560.

The previous prime is 213336637091. The next prime is 213336637123. The reversal of 213336637104 is 401736633312.

213336637104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32552292 + ... + 32558844.

Almost surely, 2213336637104 is an apocalyptic number.

213336637104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213336637104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286485092352).

213336637104 is an abundant number, since it is smaller than the sum of its proper divisors (359633547600).

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

213336637104 is a wasteful number, since it uses less digits than its factorization.

213336637104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6875 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The spelling of 213336637104 in words is "two hundred thirteen billion, three hundred thirty-six million, six hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 67 106 134 159 191 201 212 268 318 382 402 424 536 573 636 764 804 848 1072 1146 1272 1528 1608 2292 2544 3056 3216 3551 4584 6553 7102 9168 10123 10653 12797 13106 14204 19659 20246 21306 25594 26212 28408 30369 38391 39318 40492 42612 51188 52424 56816 60738 76782 78636 80984 85224 102376 104848 121476 153564 157272 161968 170448 204752 242952 307128 314544 347309 439051 485904 614256 678241 694618 878102 1041927 1251623 1317153 1356482 1389236 1756204 2034723 2083854 2503246 2634306 2712964 2778472 3512408 3754869 4069446 4167708 5006492 5268612 5425928 5556944 7024816 7509738 8138892 8335416 10012984 10537224 10851856 15019476 16277784 16670832 20025968 21074448 23269703 30038952 32555568 46539406 60077904 66336019 69809109 83858741 93078812 132672038 139618218 167717482 186157624 199008057 251576223 265344076 279236436 335434964 372315248 398016114 503152446 530688152 558472872 670869928 796032228 1006304892 1061376304 1116945744 1341739856 1592064456 2012609784 3184128912 4025219568 4444513273 8889026546 13333539819 17778053092 26667079638 35556106184 53334159276 71112212368 106668318552 213336637104