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201009613632 = 2634096074217
BaseRepresentation
bin1011101100110100011…
…0110100101101000000
3201012211201001101000220
42323031012310231000
511243131430114012
6232201553343040
720344130344662
oct2731506645500
9635751041026
10201009613632
117827a760933
1232b59867a80
1315c555440a9
149a2c212532
155366e0408c
hex2ecd1b4b40

201009613632 has 112 divisors (see below), whose sum is σ = 534143224320. Its totient is φ = 66713444352.

The previous prime is 201009613619. The next prime is 201009613643. The reversal of 201009613632 is 236316900102.

It is a junction number, because it is equal to n+sod(n) for n = 201009613593 and 201009613602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47664388 + ... + 47668604.

Almost surely, 2201009613632 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 201009613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267071612160).

201009613632 is an abundant number, since it is smaller than the sum of its proper divisors (333133610688).

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

201009613632 is a wasteful number, since it uses less digits than its factorization.

201009613632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5248 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 201009613632 in words is "two hundred one billion, nine million, six hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 409 607 818 1214 1227 1636 1821 2428 2454 3272 3642 4217 4856 4908 6544 7284 8434 9712 9816 12651 13088 14568 16868 19424 19632 25302 26176 29136 33736 38848 39264 50604 58272 67472 78528 101208 116544 134944 202416 248263 269888 404832 496526 744789 809664 993052 1489578 1724753 1986104 2559719 2979156 3449506 3972208 5119438 5174259 5958312 6899012 7679157 7944416 10238876 10348518 11916624 13798024 15358314 15888832 20477752 20697036 23833248 27596048 30716628 40955504 41394072 47666496 55192096 61433256 81911008 82788144 110384192 122866512 163822016 165576288 245733024 331152576 491466048 1046925071 2093850142 3140775213 4187700284 6281550426 8375400568 12563100852 16750801136 25126201704 33501602272 50252403408 67003204544 100504806816 201009613632