Search a number
-
+
206617520704 = 267281172
BaseRepresentation
bin1100000001101101011…
…1010010101001000000
3201202022112022120022211
43000123113102221000
511341123041130304
6234530242311504
720633113643200
oct3003327225100
9652275276284
10206617520704
117a698227481
1234063958594
131663a3095ba
14a000d18400
1555943db204
hex301b5d2a40

206617520704 has 63 divisors (see below), whose sum is σ = 477005268873. Its totient is φ = 88539456768.

The previous prime is 206617520699. The next prime is 206617520777. The reversal of 206617520704 is 407025716602.

The square root of 206617520704 is 454552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 187142760000 + 19474760704 = 432600^2 + 139552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25450854 + ... + 25458970.

Almost surely, 2206617520704 is an apocalyptic number.

206617520704 is the 454552-nd square number.

It is an amenable number.

206617520704 is an abundant number, since it is smaller than the sum of its proper divisors (270387748169).

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

206617520704 is an frugal number, since it uses more digits than its factorization.

206617520704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16260 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 206617520704 in words is "two hundred six billion, six hundred seventeen million, five hundred twenty thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 8117 16234 32468 56819 64936 113638 129872 227276 259744 397733 454552 519488 795466 909104 1590932 1818208 3181864 3636416 6363728 12727456 25454912 65885689 131771378 263542756 461199823 527085512 922399646 1054171024 1844799292 2108342048 3228398761 3689598584 4216684096 6456797522 7379197168 12913595044 14758394336 25827190088 29516788672 51654380176 103308760352 206617520704