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463414213046136 = 2331122718301422537
BaseRepresentation
bin110100101011110010000011…
…1100011010110111101111000
32020202210222002021211211111010
41221113210013203112331320
5441220034302014434021
64321333314524033520
7166416400130056362
oct15127440743267570
92222728067754433
10463414213046136
111247269560987a0
1243b849423928a0
1316b76a07a4a831
14826152092dd32
1538897019d6976
hex1a579078d6f78

463414213046136 has 128 divisors (see below), whose sum is σ = 1269496964540160. Its totient is φ = 139801951104000.

The previous prime is 463414213046131. The next prime is 463414213046137. The reversal of 463414213046136 is 631640312414364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463414213046131) 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, 1096531060 + ... + 1096953596.

It is an arithmetic number, because the mean of its divisors is an integer number (9917945035470).

Almost surely, 2463414213046136 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 463414213046136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634748482270080).

463414213046136 is an abundant number, since it is smaller than the sum of its proper divisors (806082751494024).

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

463414213046136 is a wasteful number, since it uses less digits than its factorization.

463414213046136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441085 (or 441081 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 463414213046136 in words is "four hundred sixty-three trillion, four hundred fourteen billion, two hundred thirteen million, forty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 227 264 454 681 908 1362 1816 2497 2724 4994 5448 7491 9988 14982 18301 19976 29964 36602 54903 59928 73204 109806 146408 201311 219612 402622 422537 439224 603933 805244 845074 1207866 1267611 1610488 1690148 2415732 2535222 3380296 4154327 4647907 4831464 5070444 8308654 9295814 10140888 12462981 13943721 16617308 18591628 24925962 27887442 33234616 37183256 45697597 49851924 55774884 91395194 95915899 99703848 111549768 137092791 182790388 191831798 274185582 287747697 365580776 383663596 548371164 575495394 767327192 1055074889 1096742328 1150990788 2110149778 2301981576 3165224667 4220299556 6330449334 7732849637 8440599112 12660898668 15465699274 23198548911 25321797336 30931398548 46397097822 61862797096 85061346007 92794195644 170122692014 185588391288 255184038021 340245384028 510368076042 680490768056 1020736152084 1755356867599 2041472304168 3510713735198 5266070602797 7021427470396 10532141205594 14042854940792 19308925543589 21064282411188 38617851087178 42128564822376 57926776630767 77235702174356 115853553261534 154471404348712 231707106523068 463414213046136