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167089503942 = 23419300118089
BaseRepresentation
bin1001101110011101001…
…1110111111011000110
3120222021202101021010000
42123213103313323012
510214144403111232
6204432043542130
715033430230624
oct2334723677306
9528252337100
10167089503942
116495373a429
1228471b2a946
13129aac7ca7a
1481312cc514
15452e08627c
hex26e74f7ec6

167089503942 has 80 divisors (see below), whose sum is σ = 394262866800. Its totient is φ = 52744608000.

The previous prime is 167089503941. The next prime is 167089503949. The reversal of 167089503942 is 249305980761.

167089503942 is a `hidden beast` number, since 16 + 7 + 0 + 89 + 503 + 9 + 42 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167089503941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9228034 + ... + 9246122.

It is an arithmetic number, because the mean of its divisors is an integer number (4928285835).

It is a 1-persistent number, because it is pandigital, but 2⋅167089503942 = 334179007884 is not.

Almost surely, 2167089503942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167089503942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197131433400).

167089503942 is an abundant number, since it is smaller than the sum of its proper divisors (227173362858).

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

167089503942 is a wasteful number, since it uses less digits than its factorization.

167089503942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21123 (or 21114 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 167089503942 in words is "one hundred sixty-seven billion, eighty-nine million, five hundred three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3001 3078 6002 9003 18006 18089 27009 36178 54018 54267 57019 81027 108534 114038 162054 162801 171057 243081 325602 342114 343691 486162 488403 513171 687382 976806 1026342 1031073 1465209 1539513 2062146 2930418 3079026 3093219 4618539 6186438 9237078 9279657 18559314 27838971 54285089 55677942 108570178 162855267 325710534 488565801 977131602 1031416691 1465697403 2062833382 2931394806 3094250073 4397092209 6188500146 8794184418 9282750219 18565500438 27848250657 55696501314 83544751971 167089503942