Search a number
-
+
196488134900 = 225253197188189
BaseRepresentation
bin1011011011111110011…
…0110000000011110100
3200210011121002110020122
42312333212300003310
511204401430304100
6230133154351112
720124105406151
oct2667746600364
9623147073218
10196488134900
117636a47aa52
12320b758b498
13156b488a0a5
14971d915228
15519eec1985
hex2dbf9b00f4

196488134900 has 72 divisors (see below), whose sum is σ = 436631663160. Its totient is φ = 76720483840.

The previous prime is 196488134897. The next prime is 196488134929. The reversal of 196488134900 is 9431884691.

It can be written as a sum of positive squares in 12 ways, for example, as 17860184164 + 178627950736 = 133642^2 + 422644^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950006 + ... + 1138194.

It is an arithmetic number, because the mean of its divisors is an integer number (6064328655).

Almost surely, 2196488134900 is an apocalyptic number.

196488134900 is a gapful number since it is divisible by the number (10) 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 196488134900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218315831580).

196488134900 is an abundant number, since it is smaller than the sum of its proper divisors (240143528260).

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

196488134900 is a wasteful number, since it uses less digits than its factorization.

196488134900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188453 (or 188446 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 196488134900 in words is "one hundred ninety-six billion, four hundred eighty-eight million, one hundred thirty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 197 212 265 394 530 788 985 1060 1325 1970 2650 3940 4925 5300 9850 10441 19700 20882 41764 52205 104410 188189 208820 261025 376378 522050 752756 940945 1044100 1881890 3763780 4704725 9409450 9974017 18818900 19948034 37073233 39896068 49870085 74146466 99740170 148292932 185366165 199480340 249350425 370732330 498700850 741464660 926830825 997401700 1853661650 1964881349 3707323300 3929762698 7859525396 9824406745 19648813490 39297626980 49122033725 98244067450 196488134900