Search a number
-
+
206036535120 = 243513607108793
BaseRepresentation
bin1011111111100010111…
…1000000011101010000
3201200211001002102221020
42333320233000131100
511333430323110440
6234352445555440
720612530436523
oct2777057003520
9650731072836
10206036535120
117a41a2863a9
1233b21275b80
1316576b3a650
149d87ac0bba
15555d3c73d0
hex2ff8bc0750

206036535120 has 160 divisors (see below), whose sum is σ = 688984568832. Its totient is φ = 50632667136.

The previous prime is 206036535101. The next prime is 206036535143. The reversal of 206036535120 is 21535630602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1839444 + ... + 1948236.

Almost surely, 2206036535120 is an apocalyptic number.

206036535120 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 206036535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344492284416).

206036535120 is an abundant number, since it is smaller than the sum of its proper divisors (482948033712).

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

206036535120 is a wasteful number, since it uses less digits than its factorization.

206036535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109429 (or 109423 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 206036535120 in words is "two hundred six billion, thirty-six million, five hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 607 624 780 1040 1214 1560 1821 2428 3035 3120 3642 4856 6070 7284 7891 9105 9712 12140 14568 15782 18210 23673 24280 29136 31564 36420 39455 47346 48560 63128 72840 78910 94692 108793 118365 126256 145680 157820 189384 217586 236730 315640 326379 378768 435172 473460 543965 631280 652758 870344 946920 1087930 1305516 1414309 1631895 1740688 1893840 2175860 2611032 2828618 3263790 4242927 4351720 5222064 5657236 6527580 7071545 8485854 8703440 11314472 13055160 14143090 16971708 21214635 22628944 26110320 28286180 33943416 42429270 56572360 66037351 67886832 84858540 113144720 132074702 169717080 198112053 264149404 330186755 339434160 396224106 528298808 660373510 792448212 858485563 990560265 1056597616 1320747020 1584896424 1716971126 1981120530 2575456689 2641494040 3169792848 3433942252 3962241060 4292427815 5150913378 5282988080 6867884504 7924482120 8584855630 10301826756 12877283445 13735769008 15848964240 17169711260 20603653512 25754566890 34339422520 41207307024 51509133780 68678845040 103018267560 206036535120