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463403212664 = 237231812398317
BaseRepresentation
bin1101011111001001111…
…10111101111101111000
31122022010100220021212112
412233210332331331320
530043022210301124
6552515015031452
745323364213350
oct6574476757570
91568110807775
10463403212664
1116958a03a507
127598896b588
1334911177722
1418600a1bb60
15c0c2cda90e
hex6be4fbdf78

463403212664 has 128 divisors (see below), whose sum is σ = 1046391091200. Its totient is φ = 188103928320.

The previous prime is 463403212631. The next prime is 463403212667. The reversal of 463403212664 is 466212304364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463403212667) 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, 55713434 + ... + 55721750.

It is an arithmetic number, because the mean of its divisors is an integer number (8174930400).

Almost surely, 2463403212664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463403212664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523195545600).

463403212664 is an abundant number, since it is smaller than the sum of its proper divisors (582987878536).

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

463403212664 is a wasteful number, since it uses less digits than its factorization.

463403212664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773 (or 8769 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 41.

The spelling of 463403212664 in words is "four hundred sixty-three billion, four hundred three million, two hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 181 184 239 322 362 478 644 724 956 1267 1288 1448 1673 1912 2534 3346 4163 5068 5497 6692 8317 8326 10136 10994 13384 16634 16652 21988 29141 33268 33304 38479 43259 43976 58219 58282 66536 76958 86518 116438 116564 153916 173036 191291 232876 233128 302813 307832 346072 382582 465752 605626 765164 994957 1211252 1339037 1505377 1530328 1987763 1989914 2422504 2678074 3010754 3975526 3979828 5356148 6021508 6964699 7951052 7959656 10537639 10712296 12043016 13914341 13929398 15902104 21075278 27828682 27858796 34623671 42150556 45718549 55657364 55717592 69247342 84301112 91437098 111314728 138494684 182874196 242365697 276989368 320029843 359785103 365748392 484731394 640059686 719570206 969462788 1280119372 1439140412 1938925576 2518495721 2560238744 2878280824 5036991442 8275057369 10073982884 16550114738 20147965768 33100229476 57925401583 66200458952 115850803166 231701606332 463403212664