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1000463306472 = 23337661682081
BaseRepresentation
bin11101000111100000100…
…00101000111011101000
310112122101000012211111000
432203300100220323220
5112342422101301342
62043335000435000
7132165261535530
oct16436020507350
93478330184430
101000463306472
113563264aaa03
12141a91178a60
1373460274096
14365cbbaa4c0
151b05728244c
hexe8f0428ee8

1000463306472 has 64 divisors (see below), whose sum is σ = 3176073993600. Its totient is φ = 285846658560.

The previous prime is 1000463306357. The next prime is 1000463306477. The reversal of 1000463306472 is 2746033640001.

It is a happy number.

1000463306472 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 6 + 3 + 3 + 0 + 647 + 2 = 666.

It is a super-3 number, since 3×10004633064723 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1000463306477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330839529 + ... + 330842552.

It is an arithmetic number, because the mean of its divisors is an integer number (49626156150).

Almost surely, 21000463306472 is an apocalyptic number.

1000463306472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000463306472 is an abundant number, since it is smaller than the sum of its proper divisors (2175610687128).

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

1000463306472 is a wasteful number, since it uses less digits than its factorization.

1000463306472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661682103 (or 661682093 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 1000463306472 its reverse (2746033640001), we get a palindrome (3746496946473).

The spelling of 1000463306472 in words is "one trillion, four hundred sixty-three million, three hundred six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 661682081 1323364162 1985046243 2646728324 3970092486 4631774567 5293456648 5955138729 7940184972 9263549134 11910277458 13895323701 15880369944 17865416187 18527098268 23820554916 27790647402 35730832374 37054196536 41685971103 47641109832 55581294804 71461664748 83371942206 111162589608 125057913309 142923329496 166743884412 250115826618 333487768824 500231653236 1000463306472