Search a number
-
+
104590710841600 = 28521278372
BaseRepresentation
bin10111110001111111101100…
…001010101010000100000000
3111201022202220110200010221101
4113301333230022222010000
5102202103233433412400
61010240150444104144
731013300213356054
oct2761775412520400
9451282813603841
10104590710841600
1130364742661125
12b892469535054
134648b28248739
141bb830882dc64
15c1599ed4e56a
hex5f1fec2aa100

104590710841600 has 81 divisors (see below), whose sum is σ = 258880376713287. Its totient is φ = 41835957073920.

The previous prime is 104590710841597. The next prime is 104590710841657. The reversal of 104590710841600 is 6148017095401.

The square root of 104590710841600 is 10226960.

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

104590710841600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12558461739264 + 92032249102336 = 3543792^2 + 9593344^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 818092882 + ... + 818220718.

Almost surely, 2104590710841600 is an apocalyptic number.

104590710841600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104590710841600 is the 10226960-th square number.

It is an amenable number.

104590710841600 is an abundant number, since it is smaller than the sum of its proper divisors (154289665871687).

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

104590710841600 is an frugal number, since it uses more digits than its factorization.

104590710841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255700 (or 127844 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 104590710841600 in words is "one hundred four trillion, five hundred ninety billion, seven hundred ten million, eight hundred forty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 127837 255674 511348 639185 1022696 1278370 2045392 2556740 3195925 4090784 5113480 6391850 8181568 10226960 12783700 16363136 20453920 25567400 32726272 40907840 51134800 81815680 102269600 163631360 204539200 409078400 818156800 16342298569 32684597138 65369194276 81711492845 130738388552 163422985690 261476777104 326845971380 408557464225 522953554208 653691942760 817114928450 1045907108416 1307383885520 1634229856900 2091814216832 2614767771040 3268459713800 4183628433664 5229535542080 6536919427600 10459071084160 13073838855200 20918142168320 26147677710400 52295355420800 104590710841600