Search a number
-
+
104316087168 = 273490711093
BaseRepresentation
bin110000100100110111…
…0010010101110000000
3100222020222010021210000
41201021232102232000
53202114404242133
6115531103440000
710352023053006
oct1411156225600
9328228107700
10104316087168
1140270791297
12182732b6000
139ab5a72387
145098374a76
152aa80ea413
hex1849b92b80

104316087168 has 160 divisors (see below), whose sum is σ = 310813275960. Its totient is φ = 34730560512.

The previous prime is 104316087119. The next prime is 104316087193. The reversal of 104316087168 is 861780613401.

104316087168 is a `hidden beast` number, since 1 + 0 + 4 + 31 + 608 + 7 + 1 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9398230 + ... + 9409322.

Almost surely, 2104316087168 is an apocalyptic number.

104316087168 is a gapful number since it is divisible by the number (18) 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 104316087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155406637980).

104316087168 is an abundant number, since it is smaller than the sum of its proper divisors (206497188792).

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

104316087168 is an equidigital number, since it uses as much as digits as its factorization.

104316087168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12026 (or 12005 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 104316087168 in words is "one hundred four billion, three hundred sixteen million, eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 907 1152 1296 1728 1814 2592 2721 3456 3628 5184 5442 7256 8163 10368 10884 11093 14512 16326 21768 22186 24489 29024 32652 33279 43536 44372 48978 58048 65304 66558 73467 87072 88744 97956 99837 116096 130608 133116 146934 174144 177488 195912 199674 261216 266232 293868 299511 348288 354976 391824 399348 522432 532464 587736 599022 709952 783648 798696 898533 1044864 1064928 1175472 1198044 1419904 1567296 1597392 1797066 2129856 2350944 2396088 3134592 3194784 3594132 4259712 4701888 4792176 6389568 7188264 9403776 9584352 10061351 12779136 14376528 19168704 20122702 28753056 30184053 38337408 40245404 57506112 60368106 80490808 90552159 115012224 120736212 160981616 181104318 241472424 271656477 321963232 362208636 482944848 543312954 643926464 724417272 814969431 965889696 1086625908 1287852928 1448834544 1629938862 1931779392 2173251816 2897669088 3259877724 3863558784 4346503632 5795338176 6519755448 8693007264 11590676352 13039510896 17386014528 26079021792 34772029056 52158043584 104316087168