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166500628 = 22723167409
BaseRepresentation
bin10011110110010…
…01100100010100
3102121022002220221
421323021210110
5320111010003
624304404124
74061142400
oct1173114424
9377262827
10166500628
1185a92428
1247916644
13286585a8
1418182100
15e93d7bd
hex9ec9914

166500628 has 72 divisors (see below), whose sum is σ = 355971840. Its totient is φ = 67858560.

The previous prime is 166500623. The next prime is 166500643. The reversal of 166500628 is 826005661.

It is a junction number, because it is equal to n+sod(n) for n = 166500593 and 166500602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166500623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406888 + ... + 407296.

Almost surely, 2166500628 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 166500628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177985920).

166500628 is an abundant number, since it is smaller than the sum of its proper divisors (189471212).

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

166500628 is a wasteful number, since it uses less digits than its factorization.

166500628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 166500628 is about 12903.5122350467. The cubic root of 166500628 is about 550.1383982293.

The spelling of 166500628 in words is "one hundred sixty-six million, five hundred thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 31 49 62 67 98 124 134 196 217 268 409 434 469 818 868 938 1519 1636 1876 2077 2863 3038 3283 4154 5726 6076 6566 8308 11452 12679 13132 14539 20041 25358 27403 29078 40082 50716 54806 58156 80164 88753 101773 109612 177506 191821 203546 355012 383642 407092 621271 767284 849493 1242542 1342747 1698986 2485084 2685494 3397972 5370988 5946451 11892902 23785804 41625157 83250314 166500628