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108222431856 = 24371131194151
BaseRepresentation
bin110010011001010001…
…1110100001001110000
3101100100012121011021220
41210302203310021300
53233114420304411
6121414450145040
710550565331020
oct1446243641160
9340305534256
10108222431856
1141995817930
1218b83582180
13a289162136
1453490a9a80
152c36020b06
hex19328f4270

108222431856 has 160 divisors (see below), whose sum is σ = 349685047296. Its totient is φ = 28019040000.

The previous prime is 108222431803. The next prime is 108222431917. The reversal of 108222431856 is 658134222801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1102381 + ... + 1196531.

Almost surely, 2108222431856 is an apocalyptic number.

108222431856 is a gapful number since it is divisible by the number (16) 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 108222431856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174842523648).

108222431856 is an abundant number, since it is smaller than the sum of its proper divisors (241462615440).

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

108222431856 is a wasteful number, since it uses less digits than its factorization.

108222431856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94491 (or 94485 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 108222431856 in words is "one hundred eight billion, two hundred twenty-two million, four hundred thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 311 336 462 528 616 622 924 933 1232 1244 1848 1866 2177 2488 3421 3696 3732 4354 4976 6531 6842 7464 8708 10263 13062 13684 14928 17416 20526 23947 26124 27368 34832 41052 47894 52248 54736 71841 82104 94151 95788 104496 143682 164208 188302 191576 282453 287364 376604 383152 564906 574728 659057 753208 1035661 1129812 1149456 1318114 1506416 1977171 2071322 2259624 2636228 3106983 3954342 4142644 4519248 5272456 6213966 7249627 7908684 8285288 10544912 12427932 14499254 15817368 16570576 21748881 24855864 28998508 29280961 31634736 43497762 49711728 57997016 58561922 86995524 87842883 115994032 117123844 173991048 175685766 204966727 234247688 322090571 347982096 351371532 409933454 468495376 614900181 644181142 702743064 819866908 966271713 1229800362 1288362284 1405486128 1639733816 1932543426 2254633997 2459600724 2576724568 3279467632 3865086852 4509267994 4919201448 5153449136 6763901991 7730173704 9018535988 9838402896 13527803982 15460347408 18037071976 27055607964 36074143952 54111215928 108222431856