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53234096668900 = 2252721042312
BaseRepresentation
bin11000001101010100001110…
…11011000000000011100100
320222111010111201121110201021
430012222013123000003210
523434141412221401100
6305115223440540524
714133015353504200
oct1406520733000344
9228433451543637
1053234096668900
1115a644a9839a74
125b7915b321744
132391c525a4074
14d20788b45b00
15624b1ae1ea1a
hex306a876c00e4

53234096668900 has 81 divisors (see below), whose sum is σ = 134379358979817. Its totient is φ = 18251515178400.

The previous prime is 53234096668897. The next prime is 53234096668939. The reversal of 53234096668900 is 986669043235.

It is a happy number.

The square root of 53234096668900 is 7296170.

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

It can be written as a sum of positive squares in only one way, i.e., 19164274800804 + 34069821868096 = 4377702^2 + 5836936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 510679785 + ... + 510784015.

Almost surely, 253234096668900 is an apocalyptic number.

53234096668900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53234096668900 is the 7296170-th square number.

It is an amenable number.

53234096668900 is an abundant number, since it is smaller than the sum of its proper divisors (81145262310917).

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

53234096668900 is an frugal number, since it uses more digits than its factorization.

53234096668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208490 (or 104245 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 61.

The spelling of 53234096668900 in words is "fifty-three trillion, two hundred thirty-four billion, ninety-six million, six hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 104231 208462 416924 521155 729617 1042310 1459234 2084620 2605775 2918468 3648085 5107319 5211550 7296170 10214638 10423100 14592340 18240425 20429276 25536595 36480850 51073190 72961700 102146380 127682975 255365950 510731900 10864101361 21728202722 43456405444 54320506805 76048709527 108641013610 152097419054 217282027220 271602534025 304194838108 380243547635 532340966689 543205068050 760487095270 1064681933378 1086410136100 1520974190540 1901217738175 2129363866756 2661704833445 3802435476350 5323409666890 7604870952700 10646819333780 13308524167225 26617048334450 53234096668900