Search a number
-
+
53107202500 = 22541124192
BaseRepresentation
bin110001011101011011…
…111001100111000100
312002002010120102010221
4301131123321213010
51332230420440000
640221435354124
73560021526112
oct613533714704
9162063512127
1053107202500
11205826a4300
12a3615b2944
13501471a1a1
1427db280ab2
1515ac56261a
hexc5d6f99c4

53107202500 has 135 divisors (see below), whose sum is σ = 127957720891. Its totient is φ = 19265620000.

The previous prime is 53107202431. The next prime is 53107202531. The reversal of 53107202500 is 520270135.

The square root of 53107202500 is 230450.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4163604676 + 48943597824 = 64526^2 + 221232^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 126747291 + ... + 126747709.

Almost surely, 253107202500 is an apocalyptic number.

53107202500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53107202500 is the 230450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53107202500

53107202500 is an abundant number, since it is smaller than the sum of its proper divisors (74850518391).

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

53107202500 is an equidigital number, since it uses as much as digits as its factorization.

53107202500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

Multiplying 53107202500 by its sum of digits (25), we get a square (1327680062500 = 11522502).

53107202500 divided by its sum of digits (25) gives a square (2124288100 = 460902).

Adding to 53107202500 its reverse (520270135), we get a palindrome (53627472635).

The spelling of 53107202500 in words is "fifty-three billion, one hundred seven million, two hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 220 242 250 275 419 484 500 550 605 625 838 1100 1210 1250 1375 1676 2095 2420 2500 2750 3025 4190 4609 5500 6050 6875 8380 9218 10475 12100 13750 15125 18436 20950 23045 27500 30250 41900 46090 50699 52375 60500 75625 92180 101398 104750 115225 151250 175561 202796 209500 230450 253495 261875 302500 351122 460900 506990 523750 576125 702244 877805 1013980 1047500 1152250 1267475 1755610 1931171 2304500 2534950 2880625 3511220 3862342 4389025 5069900 5761250 6337375 7724684 8778050 9655855 11522500 12674750 17556100 19311710 21242881 21945125 25349500 31686875 38623420 42485762 43890250 48279275 63373750 84971524 87780500 96558550 106214405 109725625 126747500 193117100 212428810 219451250 241396375 424857620 438902500 482792750 531072025 965585500 1062144050 1206981875 2124288100 2413963750 2655360125 4827927500 5310720250 10621440500 13276800625 26553601250 53107202500