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46789950341124 = 2232461224732
BaseRepresentation
bin10101010001110001000100…
…10111101000000000000100
320010200002001002101201220100
422220320202113220000010
522113101304241403444
6243303001220404100
712566314405501014
oct1250704227500004
9203602032351810
1046789950341124
11139aa563179811
1252b8257846630
13201537281a6c3
14b7a907a61c44
155621a9a79e69
hex2a8e225e8004

46789950341124 has 81 divisors (see below), whose sum is σ = 118579663888959. Its totient is φ = 15556524808320.

The previous prime is 46789950341117. The next prime is 46789950341129. The reversal of 46789950341124 is 42114305998764.

The square root of 46789950341124 is 6840318.

It is a perfect power (a square), and thus also a powerful number.

46789950341124 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 9 + 9 + 503 + 4 + 112 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 247974120900 + 46541976220224 = 497970^2 + 6822168^2 .

It is not an unprimeable number, because it can be changed into a prime (46789950341129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18920318352 + ... + 18920320824.

It is a 1-persistent number, because it is pandigital, but 2⋅46789950341124 = 93579900682248 is not.

Almost surely, 246789950341124 is an apocalyptic number.

46789950341124 is the 6840318-th square number.

It is an amenable number.

46789950341124 is an abundant number, since it is smaller than the sum of its proper divisors (71789713547835).

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

46789950341124 is an frugal number, since it uses more digits than its factorization.

46789950341124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 46789950341124 in words is "forty-six trillion, seven hundred eighty-nine billion, nine hundred fifty million, three hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 461 922 1383 1844 2473 2766 4149 4946 5532 7419 8298 9892 14838 16596 22257 29676 44514 89028 212521 425042 637563 850084 1140053 1275126 1912689 2280106 2550252 3420159 3825378 4560212 6115729 6840318 7650756 10260477 12231458 13680636 18347187 20520954 24462916 36694374 41041908 55041561 73388748 110083122 220166244 525564433 1051128866 1576693299 2102257732 2819351069 3153386598 4730079897 5638702138 6306773196 8458053207 9460159794 11277404276 16916106414 18920319588 25374159621 33832212828 50748319242 101496638484 1299720842809 2599441685618 3899162528427 5198883371236 7798325056854 11697487585281 15596650113708 23394975170562 46789950341124