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206085129156 = 223229226092
BaseRepresentation
bin1011111111101110100…
…0011000001111000100
3201200221102112021102100
42333323220120033010
511334030243113111
6234401343312100
720613660460224
oct2777350301704
9650842467370
10206085129156
117a444756865
1233b355ab630
1316583c22b0a
149d90330084
1555627c5756
hex2ffba183c4

206085129156 has 81 divisors (see below), whose sum is σ = 539727066151. Its totient is φ = 66300826368.

The previous prime is 206085129149. The next prime is 206085129157. The reversal of 206085129156 is 651921580602.

The square root of 206085129156 is 453966.

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

206085129156 is a `hidden beast` number, since 2 + 0 + 608 + 5 + 1 + 29 + 15 + 6 = 666.

206085129156 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5447556 + 206079681600 = 2334^2 + 453960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206085129157) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78988780 + ... + 78991388.

Almost surely, 2206085129156 is an apocalyptic number.

206085129156 is the 453966-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206085129156

206085129156 is an abundant number, since it is smaller than the sum of its proper divisors (333641936995).

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

206085129156 is an equidigital number, since it uses as much as digits as its factorization.

206085129156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

It can be divided in two parts, 206085 and 129156, that added together give a square (335241 = 5792).

The spelling of 206085129156 in words is "two hundred six billion, eighty-five million, one hundred twenty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 2609 3364 5046 5218 7569 7827 10092 10436 15138 15654 23481 30276 31308 46962 75661 93924 151322 226983 302644 453966 680949 907932 1361898 2194169 2723796 4388338 6582507 6806881 8776676 13165014 13613762 19747521 20420643 26330028 27227524 39495042 40841286 61261929 78990084 81682572 122523858 197399549 245047716 394799098 592198647 789598196 1184397294 1776595941 2368794588 3553191882 5724586921 7106383764 11449173842 17173760763 22898347684 34347521526 51521282289 68695043052 103042564578 206085129156