Search a number
-
+
117848024100 = 223252114432
BaseRepresentation
bin110110111000001001…
…0100010010000100100
3102021012000211220112100
41231300102202100210
53412323043232400
6130045540052100
711341245451122
oct1556022422044
9367160756470
10117848024100
1145a85156844
121aa0b094030
13b1613cb951
1459bd60a912
1530eb0c3100
hex1b704a2424

117848024100 has 81 divisors (see below), whose sum is σ = 369420367953. Its totient is φ = 31423393440.

The previous prime is 117848024093. The next prime is 117848024251. The reversal of 117848024100 is 1420848711.

The square root of 117848024100 is 343290.

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

117848024100 is a `hidden beast` number, since 1 + 1 + 78 + 480 + 2 + 4 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42425288676 + 75422735424 = 205974^2 + 274632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10292979 + ... + 10304421.

Almost surely, 2117848024100 is an apocalyptic number.

117848024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117848024100 is the 343290-th square number.

It is an amenable number.

117848024100 is an abundant number, since it is smaller than the sum of its proper divisors (251572343853).

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

117848024100 is an equidigital number, since it uses as much as digits as its factorization.

117848024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22906 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Multiplying 117848024100 by its sum of digits (36), we get a square (4242528867600 = 20597402).

117848024100 divided by its sum of digits (36) gives a square (3273556225 = 572152).

The spelling of 117848024100 in words is "one hundred seventeen billion, eight hundred forty-eight million, twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 11443 22886 34329 45772 57215 68658 102987 114430 137316 171645 205974 228860 286075 343290 411948 514935 572150 686580 858225 1029870 1144300 1716450 2059740 2574675 3432900 5149350 10298700 130942249 261884498 392826747 523768996 654711245 785653494 1178480241 1309422490 1571306988 1964133735 2356960482 2618844980 3273556225 3928267470 4713920964 5892401205 6547112450 7856534940 9820668675 11784802410 13094224900 19641337350 23569604820 29462006025 39282674700 58924012050 117848024100