Search a number
-
+
546104123004 = 2231137673316607
BaseRepresentation
bin1111111001001100101…
…01111001111001111100
31221012120221020211022210
413330212111321321330
532421410123414004
61054513214340420
754311653312206
oct7744625717174
91835527224283
10546104123004
111a06685a44a0
1289a091ba710
133c660a2442b
141c608385776
15e31346e089
hex7f26579e7c

546104123004 has 96 divisors (see below), whose sum is σ = 1427951056896. Its totient is φ = 160979892480.

The previous prime is 546104122939. The next prime is 546104123011. The reversal of 546104123004 is 400321401645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32875669 + ... + 32892275.

It is an arithmetic number, because the mean of its divisors is an integer number (14874490176).

Almost surely, 2546104123004 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 546104123004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713975528448).

546104123004 is an abundant number, since it is smaller than the sum of its proper divisors (881846933892).

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

546104123004 is a wasteful number, since it uses less digits than its factorization.

546104123004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23395 (or 23393 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 546104123004 its reverse (400321401645), we get a palindrome (946425524649).

The spelling of 546104123004 in words is "five hundred forty-six billion, one hundred four million, one hundred twenty-three thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 6733 13466 16607 20199 26932 33214 40398 49821 66428 74063 80796 99642 148126 182677 199284 222189 249121 296252 365354 444378 498242 548031 614459 730708 747363 888756 996484 1096062 1228918 1494726 1843377 2192124 2457836 2740331 2989452 3686754 5480662 6759049 7373508 8220993 10961324 13518098 16441986 20277147 27036196 32883972 40554294 81108588 111814931 223629862 335444793 447259724 670889586 1229964241 1341779172 2459928482 3689892723 4137152447 4919856964 7379785446 8274304894 12411457341 14759570892 16548609788 24822914682 45508676917 49645829364 91017353834 136526030751 182034707668 273052061502 546104123004