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122861466256 = 24876292
BaseRepresentation
bin111001001101100011…
…1010011001010010000
3102202010102112011021011
41302123013103022100
54003110013410011
6132235231340304
711606423142424
oct1623307231220
9382112464234
10122861466256
1148118105071
121b98a081694
13b77cc85a79
145d373aab84
1532e12d2621
hex1c9b1d3290

122861466256 has 15 divisors (see below), whose sum is σ = 238046807401. Its totient is φ = 61430032096.

The previous prime is 122861466239. The next prime is 122861466307. The reversal of 122861466256 is 652664168221.

It is a happy number.

The square root of 122861466256 is 350516.

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., 3808864656 + 119052601600 = 61716^2 + 345040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1358250 + ... + 1445878.

Almost surely, 2122861466256 is an apocalyptic number.

122861466256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122861466256 is the 350516-th square number.

It is an amenable number.

122861466256 is a deficient number, since it is larger than the sum of its proper divisors (115185341145).

122861466256 is an frugal number, since it uses more digits than its factorization.

122861466256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175266 (or 87631 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

Multiplying 122861466256 by its sum of digits (49), we get a square (6020211846544 = 24536122).

The spelling of 122861466256 in words is "one hundred twenty-two billion, eight hundred sixty-one million, four hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 87629 175258 350516 701032 1402064 7678841641 15357683282 30715366564 61430733128 122861466256