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4613146454168 = 2375910141932993
BaseRepresentation
bin100001100100001010011…
…1101001010100010011000
3121100000100002220211020022
41003020110331022202120
51101040210443013133
613451130014250012
7654201032606630
oct103102475124230
917300302824208
104613146454168
1115194739aa81a
126260854b6908
132760302848b5
1411d3c55936c0
157eeea058998
hex43214f4a898

4613146454168 has 128 divisors (see below), whose sum is σ = 10176933312000. Its totient is φ = 1919659315200.

The previous prime is 4613146454167. The next prime is 4613146454173. The reversal of 4613146454168 is 8614546413164.

It is a super-2 number, since 2×46131464541682 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4613146454167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139805480 + ... + 139838472.

It is an arithmetic number, because the mean of its divisors is an integer number (79507291500).

Almost surely, 24613146454168 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 4613146454168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088466656000).

4613146454168 is an abundant number, since it is smaller than the sum of its proper divisors (5563786857832).

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

4613146454168 is a wasteful number, since it uses less digits than its factorization.

4613146454168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33585 (or 33581 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 53.

The spelling of 4613146454168 in words is "four trillion, six hundred thirteen billion, one hundred forty-six million, four hundred fifty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 59 101 118 202 236 404 413 419 472 707 808 826 838 1414 1652 1676 2828 2933 3304 3352 5656 5866 5959 11732 11918 23464 23836 24721 32993 41713 42319 47672 49442 65986 83426 84638 98884 131972 166852 169276 173047 197768 230951 263944 296233 333704 338552 346094 461902 592466 692188 923804 1184932 1384376 1847608 1946587 2369864 2496821 3332293 3893174 4993642 6664586 7786348 9987284 13329172 13626109 13824067 15572696 17477747 19974568 23326051 26658344 27252218 27648134 34955494 46652102 54504436 55296268 69910988 93304204 96768469 109008872 110592536 139821976 186608408 193536938 196605287 387073876 393210574 774147752 786421148 815619953 1376237009 1396230767 1572842296 1631239906 2752474018 2792461534 3262479812 5504948036 5584923068 5709339671 6524959624 9773615369 11009896072 11169846136 11418679342 19547230738 22837358684 39094461476 45674717368 78188922952 82377615253 164755230506 329510461012 576643306771 659020922024 1153286613542 2306573227084 4613146454168