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166557664 = 2572138171
BaseRepresentation
bin10011110110101…
…11011111100000
3102121102000011101
421323113133200
5320114321124
624305524144
74061500600
oct1173273740
9377360141
10166557664
1186021269
1247943654
1328678540
1418198c00
15e950644
hex9ed77e0

166557664 has 72 divisors (see below), whose sum is σ = 410839128. Its totient is φ = 65882880.

The previous prime is 166557659. The next prime is 166557673. The reversal of 166557664 is 466755661.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16299 + ... + 24469.

It is an arithmetic number, because the mean of its divisors is an integer number (5706099).

Almost surely, 2166557664 is an apocalyptic number.

166557664 is a gapful number since it is divisible by the number (14) 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 166557664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205419564).

166557664 is an abundant number, since it is smaller than the sum of its proper divisors (244281464).

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

166557664 is a wasteful number, since it uses less digits than its factorization.

166557664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8208 (or 8193 counting only the distinct ones).

The product of its digits is 907200, while the sum is 46.

The square root of 166557664 is about 12905.7221417478. The cubic root of 166557664 is about 550.2012090264.

The spelling of 166557664 in words is "one hundred sixty-six million, five hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 8171 10192 16342 20384 32684 57197 65368 106223 114394 130736 212446 228788 261472 400379 424892 457576 743561 800758 849784 915152 1487122 1601516 1699568 1830304 2974244 3203032 3399136 5204927 5948488 6406064 10409854 11896976 12812128 20819708 23793952 41639416 83278832 166557664