Search a number
-
+
120713764266 = 236198352501
BaseRepresentation
bin111000001101100011…
…0011101110110101010
3102112120202020121000000
41300123012131312222
53434210210424031
6131242150523430
711502254031534
oct1603306356652
9375522217000
10120713764266
1147215855847
121b48a966576
13b4ca0357a4
145bb2064854
1532179963e6
hex1c1b19ddaa

120713764266 has 112 divisors (see below), whose sum is σ = 289218817440. Its totient is φ = 37660140000.

The previous prime is 120713764217. The next prime is 120713764289. The reversal of 120713764266 is 662467317021.

120713764266 is a `hidden beast` number, since 1 + 207 + 13 + 7 + 6 + 426 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2273016 + ... + 2325516.

It is an arithmetic number, because the mean of its divisors is an integer number (2582310870).

Almost surely, 2120713764266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120713764266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144609408720).

120713764266 is an abundant number, since it is smaller than the sum of its proper divisors (168505053174).

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

120713764266 is an equidigital number, since it uses as much as digits as its factorization.

120713764266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52623 (or 52608 counting only the distinct ones).

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

The spelling of 120713764266 in words is "one hundred twenty billion, seven hundred thirteen million, seven hundred sixty-four thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 83 114 162 166 171 243 249 342 486 498 513 729 747 1026 1458 1494 1539 1577 2241 3078 3154 4482 4617 4731 6723 9234 9462 13446 13851 14193 20169 27702 28386 40338 42579 52501 60507 85158 105002 121014 127737 157503 255474 315006 383211 472509 766422 945018 997519 1149633 1417527 1995038 2299266 2835054 2992557 4252581 4357583 5985114 8505162 8715166 8977671 12757743 13072749 17955342 25515486 26145498 26933013 38273229 39218247 53866026 76546458 78436494 80799039 82794077 117654741 161598078 165588154 235309482 242397117 248382231 352964223 484794234 496764462 705928446 727191351 745146693 1058892669 1454382702 1490293386 2117785338 2235440079 3176678007 4470880158 6353356014 6706320237 13412640474 20118960711 40237921422 60356882133 120713764266