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122282380672 = 271756195947
BaseRepresentation
bin111000111100010011…
…0010000110110000000
3102200122001212120011221
41301320212100312000
54000413242140142
6132101543444424
711556162041314
oct1617046206600
9380561776157
10122282380672
1147950241541
121b848156714
13b6ba00088a
145cc0509b44
1532aa546767
hex1c78990d80

122282380672 has 32 divisors (see below), whose sum is σ = 257939401320. Its totient is φ = 57544648704.

The previous prime is 122282380669. The next prime is 122282380691. The reversal of 122282380672 is 276083282221.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28095798 + ... + 28100149.

Almost surely, 2122282380672 is an apocalyptic number.

It is an amenable number.

122282380672 is an abundant number, since it is smaller than the sum of its proper divisors (135657020648).

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

122282380672 is an equidigital number, since it uses as much as digits as its factorization.

122282380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56195978 (or 56195966 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 122282380672 in words is "one hundred twenty-two billion, two hundred eighty-two million, three hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 56195947 112391894 224783788 449567576 899135152 955331099 1798270304 1910662198 3596540608 3821324396 7193081216 7642648792 15285297584 30570595168 61141190336 122282380672