Search a number
-
+
206621741376 = 2639164023
BaseRepresentation
bin1100000001101110011…
…1011001000101000000
3201202022211021000000000
43000123213121011000
511341130131211001
6234530513000000
720633164552311
oct3003347310500
9652284230000
10206621741376
117a69a64a536
1234065253000
131663b15673b
14a0016d6608
155594971a86
hex301b9d9140

206621741376 has 140 divisors (see below), whose sum is σ = 615015861152. Its totient is φ = 68873493888.

The previous prime is 206621741369. The next prime is 206621741383. The reversal of 206621741376 is 673147126602.

206621741376 is a `hidden beast` number, since 2 + 0 + 6 + 621 + 7 + 4 + 13 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (206621741369) and next prime (206621741383).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1177701 + ... + 1341723.

Almost surely, 2206621741376 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 206621741376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307507930576).

206621741376 is an abundant number, since it is smaller than the sum of its proper divisors (408394119776).

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

206621741376 is an frugal number, since it uses more digits than its factorization.

206621741376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164062 (or 164028 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

Adding to 206621741376 its reverse (673147126602), we get a palindrome (879768867978).

The spelling of 206621741376 in words is "two hundred six billion, six hundred twenty-one million, seven hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 6561 7776 8748 11664 13122 15552 17496 19683 23328 26244 34992 39366 46656 52488 69984 78732 104976 139968 157464 164023 209952 314928 328046 419904 492069 629856 656092 984138 1259712 1312184 1476207 1968276 2624368 2952414 3936552 4428621 5248736 5904828 7873104 8857242 10497472 11809656 13285863 15746208 17714484 23619312 26571726 31492416 35428968 39857589 47238624 53143452 70857936 79715178 94477248 106286904 119572767 141715872 159430356 212573808 239145534 283431744 318860712 358718301 425147616 478291068 637721424 717436602 850295232 956582136 1076154903 1275442848 1434873204 1913164272 2152309806 2550885696 2869746408 3228464709 3826328544 4304619612 5739492816 6456929418 7652657088 8609239224 11478985632 12913858836 17218478448 22957971264 25827717672 34436956896 51655435344 68873913792 103310870688 206621741376