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468973384582332 = 223773116933654047
BaseRepresentation
bin110101010100001110101111…
…1111111110100010010111100
32021111111102021111212011012110
41222220131133333310102330
5442432124442423113312
64341231222035134020
7200532131441342430
oct15250353777642274
92244442244764173
10468973384582332
1112647a54a538683
1244722225744310
131718b000b7c176
1483b460bd349c0
15393411999343c
hex1aa875fff44bc

468973384582332 has 96 divisors (see below), whose sum is σ = 1267739919839232. Its totient is φ = 132155551074816.

The previous prime is 468973384582189. The next prime is 468973384582337. The reversal of 468973384582332 is 233285483379864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468973384582337) 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, 716706133 + ... + 717360179.

It is an arithmetic number, because the mean of its divisors is an integer number (13205624164992).

Almost surely, 2468973384582332 is an apocalyptic number.

468973384582332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

468973384582332 is an abundant number, since it is smaller than the sum of its proper divisors (798766535256900).

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

468973384582332 is a wasteful number, since it uses less digits than its factorization.

468973384582332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771067 (or 771065 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 75.

The spelling of 468973384582332 in words is "four hundred sixty-eight trillion, nine hundred seventy-three billion, three hundred eighty-four million, five hundred eighty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 6132 116933 233866 350799 467732 654047 701598 818531 1308094 1403196 1637062 1962141 2455593 2616188 3274124 3924282 4578329 4911186 7848564 8536109 9156658 9822372 13734987 17072218 18313316 25608327 27469974 34144436 47745431 51216654 54939948 59752763 95490862 102433308 119505526 143236293 179258289 190981724 239011052 286472586 334218017 358516578 572945172 668436034 717033156 1002654051 1336872068 2005308102 4010616204 76479677851 152959355702 229439033553 305918711404 458878067106 535357744957 917756134212 1070715489914 1606073234871 2141430979828 3212146469742 5583016483123 6424292939484 11166032966246 16749049449369 22332065932492 33498098898738 39081115381861 66996197797476 78162230763722 117243346145583 156324461527444 234486692291166 468973384582332