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218130332023696 = 242921273212
BaseRepresentation
bin110001100110001101101100…
…111101000111101110010000
31001121100001111212221111202211
4301212031230331013232100
5212042321404444224241
62051531405142121504
763642252654633001
oct6146155475075620
91047301455844684
10218130332023696
1163559610865a84
122056b152a20294
1394937a9913cb1
143bc17c8a091a8
151a3410cee3781
hexc6636cf47b90

218130332023696 has 45 divisors (see below), whose sum is σ = 437706848565363. Its totient is φ = 105303471141120.

The previous prime is 218130332023663. The next prime is 218130332023697. The reversal of 218130332023696 is 696320233031812.

The square root of 218130332023696 is 14769236.

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

It can be written as a sum of positive squares in 4 ways, for example, as 71105976894096 + 147024355129600 = 8432436^2 + 12125360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218130332023697) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1713167716 + ... + 1713295036.

Almost surely, 2218130332023696 is an apocalyptic number.

218130332023696 is the 14769236-th square number.

It is an amenable number.

218130332023696 is an abundant number, since it is smaller than the sum of its proper divisors (219576516541667).

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

218130332023696 is an frugal number, since it uses more digits than its factorization.

218130332023696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254708 (or 127352 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

The spelling of 218130332023696 in words is "two hundred eighteen trillion, one hundred thirty billion, three hundred thirty-two million, twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13456 127321 254642 509284 1018568 2037136 3692309 7384618 14769236 29538472 59076944 107076961 214153922 428307844 856615688 1713231376 16210637041 32421274082 64842548164 129685096328 259370192656 470108474189 940216948378 1880433896756 3760867793512 7521735587024 13633145751481 27266291502962 54532583005924 109065166011848 218130332023696