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368219864034 = 2331117132727479
BaseRepresentation
bin1010101101110111001…
…11010011101111100010
31022012102212122012011000
411112323213103233202
522013103241122114
6441054033332430
735413555126251
oct5267347235742
91265385565130
10368219864034
11132185571920
125b444107116
132895251c769
1413b71572798
1598a188be09
hex55bb9d3be2

368219864034 has 128 divisors (see below), whose sum is σ = 945909964800. Its totient is φ = 104935184640.

The previous prime is 368219864003. The next prime is 368219864041. The reversal of 368219864034 is 430468912863.

368219864034 is a `hidden beast` number, since 368 + 2 + 198 + 64 + 0 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13386307 + ... + 13413785.

It is an arithmetic number, because the mean of its divisors is an integer number (7389921600).

Almost surely, 2368219864034 is an apocalyptic number.

368219864034 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 368219864034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472954982400).

368219864034 is an abundant number, since it is smaller than the sum of its proper divisors (577690100766).

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

368219864034 is a wasteful number, since it uses less digits than its factorization.

368219864034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28845 (or 28839 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 368219864034 in words is "three hundred sixty-eight billion, two hundred nineteen million, eight hundred sixty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1327 1683 2654 3366 3981 5049 7962 10098 11943 14597 22559 23886 27479 29194 35829 43791 45118 54958 67677 71658 82437 87582 131373 135354 164874 203031 247311 248149 262746 302269 394119 406062 467143 494622 496298 604538 609093 741933 744447 788238 906807 934286 1218186 1401429 1483866 1488894 1813614 2233341 2720421 2802858 4204287 4466682 5138573 5440842 6700023 8161263 8408574 10277146 12612861 13400046 15415719 16322526 25225722 30831438 36464633 46247157 72929266 92494314 109393899 138741471 218787798 277482942 328181697 401110963 619898761 656363394 802221926 984545091 1203332889 1239797522 1859696283 1969090182 2406665778 3609998667 3719392566 5579088849 6818886371 7219997334 10829996001 11158177698 13637772742 16737266547 20456659113 21659992002 33474533094 40913318226 61369977339 122739954678 184109932017 368219864034