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204011367700 = 225272409101797
BaseRepresentation
bin1011111000000000000…
…1100110110100010100
3201111120220101021111111
42332000001212310110
511320303402231300
6233415503344404
720511410004400
oct2760001466424
9644526337444
10204011367700
117958010a118
1233656bb2104
13163133c0b2a
149c34b54100
1554906e29ba
hex2f80066d14

204011367700 has 108 divisors (see below), whose sum is σ = 516247179420. Its totient is φ = 69775050240.

The previous prime is 204011367653. The next prime is 204011367701. The reversal of 204011367700 is 7763110402.

It can be written as a sum of positive squares in 6 ways, for example, as 42804299664 + 161207068036 = 206892^2 + 401506^2 .

It is a super-5 number, since 5×2040113677005 (a number of 58 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204011367701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1953202 + ... + 2054998.

Almost surely, 2204011367700 is an apocalyptic number.

204011367700 is a gapful number since it is divisible by the number (20) 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 204011367700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258123589710).

204011367700 is an abundant number, since it is smaller than the sum of its proper divisors (312235811720).

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

204011367700 is a wasteful number, since it uses less digits than its factorization.

204011367700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102234 (or 102220 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The spelling of 204011367700 in words is "two hundred four billion, eleven million, three hundred sixty-seven thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 409 490 700 818 980 1225 1636 2045 2450 2863 4090 4900 5726 8180 10225 11452 14315 20041 20450 28630 40082 40900 57260 71575 80164 100205 101797 143150 200410 203594 286300 400820 407188 501025 508985 712579 1002050 1017970 1425158 2004100 2035940 2544925 2850316 3562895 4988053 5089850 7125790 9976106 10179700 14251580 17814475 19952212 24940265 35628950 41634973 49880530 71257900 83269946 99761060 124701325 166539892 208174865 249402650 291444811 416349730 498805300 582889622 832699460 1040874325 1165779244 1457224055 2040113677 2081748650 2914448110 4080227354 4163497300 5828896220 7286120275 8160454708 10200568385 14572240550 20401136770 29144481100 40802273540 51002841925 102005683850 204011367700