Search a number
-
+
5344420255512 = 23313127691195193
BaseRepresentation
bin100110111000101100001…
…0001010101011100011000
3200220220212211120221021220
41031301120101111130120
51200030333041134022
615211105345532040
71061056500425562
oct115613021253430
920826784527256
105344420255512
1117806129a6228
1272394b644020
132c9c9097ac20
14146958164332
15940499a285c
hex4dc58455718

5344420255512 has 128 divisors (see below), whose sum is σ = 14523183144960. Its totient is φ = 1629119278080.

The previous prime is 5344420255511. The next prime is 5344420255619. The reversal of 5344420255512 is 2155520244435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5344420255511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27282588 + ... + 27477780.

It is an arithmetic number, because the mean of its divisors is an integer number (113462368320).

Almost surely, 25344420255512 is an apocalyptic number.

5344420255512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5344420255512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261591572480).

5344420255512 is an abundant number, since it is smaller than the sum of its proper divisors (9178762889448).

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

5344420255512 is a wasteful number, since it uses less digits than its factorization.

5344420255512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196033 (or 196029 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

Adding to 5344420255512 its reverse (2155520244435), we get a palindrome (7499940499947).

The spelling of 5344420255512 in words is "five trillion, three hundred forty-four billion, four hundred twenty million, two hundred fifty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 254 312 381 508 691 762 1016 1382 1524 1651 2073 2764 3048 3302 4146 4953 5528 6604 8292 8983 9906 13208 16584 17966 19812 26949 35932 39624 53898 71864 87757 107796 175514 195193 215592 263271 351028 390386 526542 585579 702056 780772 1053084 1140841 1171158 1561544 2106168 2281682 2342316 2537509 3422523 4563364 4684632 5075018 6845046 7612527 9126728 10150036 13690092 15225054 20300072 24789511 27380184 30450108 49579022 60900216 74368533 99158044 134878363 148737066 198316088 269756726 297474132 322263643 404635089 539513452 594948264 644527286 809270178 966790929 1079026904 1289054572 1618540356 1753418719 1933581858 2578109144 3237080712 3506837438 3867163716 5260256157 7013674876 7734327432 10520512314 14027349752 17129552101 21041024628 34259104202 42082049256 51388656303 68518208404 102777312606 137036416808 205554625212 222684177313 411109250424 445368354626 668052531939 890736709252 1336105063878 1781473418504 2672210127756 5344420255512