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161706121700 = 225253121325153
BaseRepresentation
bin1001011010011001101…
…1111001100111100100
3120110101120121002222112
42112212123321213210
510122133231343300
6202141535220152
714453141232644
oct2264633714744
9513346532875
10161706121700
11626409876a2
122740b077658
131233087a6a6
147b80350524
15431664ee35
hex25a66f99e4

161706121700 has 72 divisors (see below), whose sum is σ = 357832050408. Its totient is φ = 63407185920.

The previous prime is 161706121693. The next prime is 161706121711. The reversal of 161706121700 is 7121607161.

It can be written as a sum of positive squares in 12 ways, for example, as 64906733824 + 96799387876 = 254768^2 + 311126^2 .

It is a super-2 number, since 2×1617061217002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6416324 + ... + 6441476.

It is an arithmetic number, because the mean of its divisors is an integer number (4969889589).

Almost surely, 2161706121700 is an apocalyptic number.

161706121700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161706121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178916025204).

161706121700 is an abundant number, since it is smaller than the sum of its proper divisors (196125928708).

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

161706121700 is a wasteful number, since it uses less digits than its factorization.

161706121700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26433 (or 26426 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

Adding to 161706121700 its reverse (7121607161), we get a palindrome (168827728861).

The spelling of 161706121700 in words is "one hundred sixty-one billion, seven hundred six million, one hundred twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1213 1325 2426 2650 4852 5300 6065 12130 24260 25153 30325 50306 60650 64289 100612 121300 125765 128578 251530 257156 321445 503060 628825 642890 1257650 1285780 1333109 1607225 2515300 2666218 3214450 5332436 6428900 6665545 13331090 26662180 30510589 33327725 61021178 66655450 122042356 133310900 152552945 305105890 610211780 762764725 1525529450 1617061217 3051058900 3234122434 6468244868 8085306085 16170612170 32341224340 40426530425 80853060850 161706121700