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214628205384 = 233317193076313
BaseRepresentation
bin1100011111100011010…
…1101000001101001000
3202111222210211111212000
43013320311220031020
512004024310033014
6242333203151000
721335454434055
oct3077065501510
9674883744760
10214628205384
118302903243a
123571a675460
1317315b20ac8
14a560ba402c
1558b27e7509
hex31f8d68348

214628205384 has 128 divisors (see below), whose sum is σ = 664483824000. Its totient is φ = 63790405632.

The previous prime is 214628205383. The next prime is 214628205427. The reversal of 214628205384 is 483502826412.

214628205384 is a `hidden beast` number, since 2 + 1 + 4 + 62 + 8 + 205 + 384 = 666.

It is not an unprimeable number, because it can be changed into a prime (214628205383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1468389 + ... + 1607924.

It is an arithmetic number, because the mean of its divisors is an integer number (5191279875).

Almost surely, 2214628205384 is an apocalyptic number.

214628205384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214628205384 is an abundant number, since it is smaller than the sum of its proper divisors (449855618616).

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

214628205384 is a wasteful number, since it uses less digits than its factorization.

214628205384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076364 (or 3076354 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 214628205384 in words is "two hundred fourteen billion, six hundred twenty-eight million, two hundred five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 306 323 342 408 456 459 513 612 646 684 918 969 1026 1224 1292 1368 1836 1938 2052 2584 2907 3672 3876 4104 5814 7752 8721 11628 17442 23256 34884 69768 3076313 6152626 9228939 12305252 18457878 24610504 27686817 36915756 52297321 55373634 58449947 73831512 83060451 104594642 110747268 116899894 156891963 166120902 175349841 209189284 221494536 233799788 313783926 332241804 350699682 418378568 467599576 470675889 526049523 627567852 664483608 701399364 941351778 993649099 1052099046 1255135704 1402798728 1412027667 1578148569 1882703556 1987298198 2104198092 2824055334 2980947297 3156297138 3765407112 3974596396 4208396184 5648110668 5961894594 6312594276 7949192792 8942841891 11296221336 11923789188 12625188552 17885683782 23847578376 26828525673 35771367564 53657051346 71542735128 107314102692 214628205384