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166612244768 = 2559212232
BaseRepresentation
bin1001101100101011011…
…1010001100100100000
3120221001111022222121022
42123022313101210200
510212210213313033
6204312434345012
715015543466514
oct2331267214440
9527044288538
10166612244768
11647292a5562
122835a12b168
131293312a7a8
1480c7b76144
154502211098
hex26cadd1920

166612244768 has 54 divisors (see below), whose sum is σ = 333944766099. Its totient is φ = 81827192512.

The previous prime is 166612244761. The next prime is 166612244819. The reversal of 166612244768 is 867442216661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 83306122384 + 83306122384 = 288628^2 + 288628^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=288628.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166612244761) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 136231805 + ... + 136233027.

Almost surely, 2166612244768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166612244768

166612244768 is an abundant number, since it is smaller than the sum of its proper divisors (167332521331).

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

166612244768 is an frugal number, since it uses more digits than its factorization.

166612244768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 1284 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 53.

The spelling of 166612244768 in words is "one hundred sixty-six billion, six hundred twelve million, two hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 59 118 236 472 944 1223 1888 2446 3481 4892 6962 9784 13924 19568 27848 39136 55696 72157 111392 144314 288628 577256 1154512 1495729 2309024 2991458 4257263 5982916 8514526 11965832 17029052 23931664 34058104 47863328 68116208 88248011 136232416 176496022 352992044 705984088 1411968176 2823936352 5206632649 10413265298 20826530596 41653061192 83306122384 166612244768