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166426624 = 2117131947
BaseRepresentation
bin10011110101101…
…11100000000000
3102121011100102001
421322313200000
5320101122444
624303033344
74060413550
oct1172674000
9377140361
10166426624
1185a41871
124789b854
13286309c0
1418163160
15e9268d4
hex9eb7800

166426624 has 192 divisors, whose sum is σ = 440294400. Its totient is φ = 61046784.

The previous prime is 166426619. The next prime is 166426649. The reversal of 166426624 is 426624661.

Its product of digits (82944) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3540969 + ... + 3541015.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2166426624 is an apocalyptic number.

166426624 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 166426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

166426624 is an abundant number, since it is smaller than the sum of its proper divisors (273867776).

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

166426624 is a wasteful number, since it uses less digits than its factorization.

166426624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 166426624 is about 12900.6443249940. The cubic root of 166426624 is about 550.0568800678.

It can be divided in two parts, 1664 and 26624, that multiplied together give a square (44302336 = 66562).

The spelling of 166426624 in words is "one hundred sixty-six million, four hundred twenty-six thousand, six hundred twenty-four".