Search a number
-
+
204053355540 = 223252694214237
BaseRepresentation
bin1011111000001010000…
…1110001110000010100
3201111200211101110222200
42332002201301300110
511320400124334130
6233424003324500
720512426622046
oct2760241616024
9644624343880
10204053355540
11795a1888211
1233669080730
131631c0023c8
149c3a563a96
155494238760
hex2f82871c14

204053355540 has 72 divisors (see below), whose sum is σ = 621262965960. Its totient is φ = 54211931904.

The previous prime is 204053355523. The next prime is 204053355547. The reversal of 204053355540 is 45553350402.

204053355540 is a `hidden beast` number, since 20 + 4 + 0 + 53 + 35 + 554 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16630165764 + 187423189776 = 128958^2 + 432924^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 204053355495 and 204053355504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204053355547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2058699 + ... + 2155538.

It is an arithmetic number, because the mean of its divisors is an integer number (8628652305).

Almost surely, 2204053355540 is an apocalyptic number.

204053355540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204053355540 is an abundant number, since it is smaller than the sum of its proper divisors (417209610420).

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

204053355540 is a wasteful number, since it uses less digits than its factorization.

204053355540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214521 (or 4214516 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 204053355540 in words is "two hundred four billion, fifty-three million, three hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 1076 1345 1614 2421 2690 3228 4035 4842 5380 8070 9684 12105 16140 24210 48420 4214237 8428474 12642711 16856948 21071185 25285422 37928133 42142370 50570844 63213555 75856266 84284740 126427110 151712532 189640665 252854220 379281330 758562660 1133629753 2267259506 3400889259 4534519012 5668148765 6801778518 10202667777 11336297530 13603557036 17004446295 20405335554 22672595060 34008892590 40810671108 51013338885 68017785180 102026677770 204053355540