Search a number
-
+
201094371472 = 24195312979623
BaseRepresentation
bin1011101101001000101…
…0001001100010010000
3201020001121112111221011
42323102022021202100
511243320124341342
6232214222140304
720346206645251
oct2732212114220
9636047474834
10201094371472
1178313591735
1232b82121694
1315c69c7bc67
149a39596b28
15536e597717
hex2ed2289890

201094371472 has 80 divisors (see below), whose sum is σ = 418230552960. Its totient is φ = 93376198656.

The previous prime is 201094371469. The next prime is 201094371473. The reversal of 201094371472 is 274173490102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201094371473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20892453 + ... + 20902075.

It is an arithmetic number, because the mean of its divisors is an integer number (5227881912).

Almost surely, 2201094371472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201094371472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209115276480).

201094371472 is an abundant number, since it is smaller than the sum of its proper divisors (217136181488).

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

201094371472 is a wasteful number, since it uses less digits than its factorization.

201094371472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000 (or 10994 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 201094371472 in words is "two hundred one billion, ninety-four million, three hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 848 1007 1297 2014 2594 4028 5188 8056 9623 10376 16112 19246 20752 24643 38492 49286 68741 76984 98572 137482 153968 182837 197144 274964 365674 394288 510019 549928 731348 1020038 1099856 1306079 1462696 2040076 2612158 2925392 4080152 5224316 8160304 9690361 10448632 12481031 19380722 20897264 24962062 38761444 49924124 77522888 99848248 155045776 199696496 237139589 474279178 661494643 948558356 1322989286 1897116712 2645978572 3794233424 5291957144 10583914288 12568398217 25136796434 50273592868 100547185736 201094371472