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1660225706172 = 22321153791001311
BaseRepresentation
bin11000001010001101001…
…010011101100010111100
312212201022222120100101100
4120022031022131202330
5204200120240044142
63310410330413100
7230642640442155
oct30121512354274
95781288510340
101660225706172
11590109146980
1222991a291190
13c073536ac77
145a4d913492c
152d2bda6cb4c
hex1828d29d8bc

1660225706172 has 144 divisors (see below), whose sum is σ = 4723629281280. Its totient is φ = 487357603200.

The previous prime is 1660225706141. The next prime is 1660225706263. The reversal of 1660225706172 is 2716075220661.

1660225706172 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 2 + 2 + 570 + 6 + 1 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157397 + ... + 2158707.

It is an arithmetic number, because the mean of its divisors is an integer number (32802981120).

Almost surely, 21660225706172 is an apocalyptic number.

1660225706172 is a gapful number since it is divisible by the number (12) 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 1660225706172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361814640640).

1660225706172 is an abundant number, since it is smaller than the sum of its proper divisors (3063403575108).

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

1660225706172 is a wasteful number, since it uses less digits than its factorization.

1660225706172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001464 (or 1001459 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1660225706172 in words is "one trillion, six hundred sixty billion, two hundred twenty-five million, seven hundred six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 79 99 106 132 158 159 198 212 237 316 318 396 474 477 583 636 711 869 948 954 1166 1422 1738 1749 1908 2332 2607 2844 3476 3498 4187 5214 5247 6996 7821 8374 10428 10494 12561 15642 16748 20988 25122 31284 37683 46057 50244 75366 92114 138171 150732 184228 276342 414513 552684 829026 1001311 1658052 2002622 3003933 4005244 6007866 9011799 11014421 12015732 18023598 22028842 33043263 36047196 44057684 53069483 66086526 79103569 99129789 106138966 132173052 158207138 159208449 198259578 212277932 237310707 316414276 318416898 396519156 474621414 477625347 583764313 636833796 711932121 870139259 949242828 955250694 1167528626 1423864242 1740278518 1751292939 1910501388 2335057252 2610417777 2847728484 3480557036 3502585878 4192489157 5220835554 5253878817 7005171756 7831253331 8384978314 10441671108 10507757634 12577467471 15662506662 16769956628 21015515268 25154934942 31325013324 37732402413 46117380727 50309869884 75464804826 92234761454 138352142181 150929609652 184469522908 276704284362 415056426543 553408568724 830112853086 1660225706172