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18942875331432 = 233134191409102841
BaseRepresentation
bin1000100111010011110110…
…10110101110101101101000
32111001220212112220020122020
410103221323112232231220
54440330002041101212
6104142123051424440
73663402052423413
oct423517326565550
974056775806566
1018942875331432
1160436a0315158
12215b30a755120
13a753c81a2680
14496ba9194b7a
1522cb33536d8c
hex113a7b5aeb68

18942875331432 has 128 divisors (see below), whose sum is σ = 51158547216000. Its totient is φ = 5810483036160.

The previous prime is 18942875331361. The next prime is 18942875331437. The reversal of 18942875331432 is 23413357824981.

It is not an unprimeable number, because it can be changed into a prime (18942875331437) 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, 184144332 + ... + 184247172.

It is an arithmetic number, because the mean of its divisors is an integer number (399676150125).

Almost surely, 218942875331432 is an apocalyptic number.

18942875331432 is a gapful number since it is divisible by the number (12) 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 18942875331432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25579273608000).

18942875331432 is an abundant number, since it is smaller than the sum of its proper divisors (32215671884568).

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

18942875331432 is a wasteful number, since it uses less digits than its factorization.

18942875331432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104691 (or 104687 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The spelling of 18942875331432 in words is "eighteen trillion, nine hundred forty-two billion, eight hundred seventy-five million, three hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 419 838 1257 1409 1676 2514 2818 3352 4227 5028 5447 5636 8454 10056 10894 11272 16341 16908 18317 21788 32682 33816 36634 43576 54951 65364 73268 102841 109902 130728 146536 205682 219804 308523 411364 439608 590371 617046 822728 1180742 1234092 1336933 1771113 2361484 2468184 2673866 3542226 4010799 4722968 5347732 7084452 7674823 8021598 10695464 14168904 15349646 16043196 23024469 30699292 32086392 43090379 46048938 61398584 86180758 92097876 129271137 144902969 172361516 184195752 258542274 289805938 344723032 434708907 517084548 560174927 579611876 869417814 1034169096 1120349854 1159223752 1680524781 1738835628 1883738597 2240699708 3361049562 3477671256 3767477194 4481399416 5651215791 6722099124 7534954388 11302431582 13444198248 15069908776 22604863164 45209726328 60714344011 121428688022 182143032033 242857376044 364286064066 485714752088 728572128132 789286472143 1457144256264 1578572944286 2367859416429 3157145888572 4735718832858 6314291777144 9471437665716 18942875331432