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161276167120 = 24517130790731
BaseRepresentation
bin1001011000110011001…
…1110000001111010000
3120102021121120011011211
42112030303300033100
510120243144321440
6202031135545504
714436400542025
oct2261463601720
9512247504154
10161276167120
1162440212432
122730b08b294
131229277b9b3
147b3d1cd54c
1542dda20eea
hex258ccf03d0

161276167120 has 80 divisors (see below), whose sum is σ = 397332122688. Its totient is φ = 60668610560.

The previous prime is 161276167027. The next prime is 161276167121. The reversal of 161276167120 is 21761672161.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161276167121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1732155 + ... + 1822885.

Almost surely, 2161276167120 is an apocalyptic number.

161276167120 is a gapful number since it is divisible by the number (10) 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 161276167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198666061344).

161276167120 is an abundant number, since it is smaller than the sum of its proper divisors (236055955568).

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

161276167120 is a wasteful number, since it uses less digits than its factorization.

161276167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92068 (or 92062 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 161276167120 in words is "one hundred sixty-one billion, two hundred seventy-six million, one hundred sixty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1307 1360 2614 5228 6535 10456 13070 20912 22219 26140 44438 52280 88876 90731 104560 111095 177752 181462 222190 355504 362924 444380 453655 725848 888760 907310 1451696 1542427 1777520 1814620 3084854 3629240 6169708 7258480 7712135 12339416 15424270 24678832 30848540 61697080 118585417 123394160 237170834 474341668 592927085 948683336 1185854170 1897366672 2015952089 2371708340 4031904178 4743416680 8063808356 9486833360 10079760445 16127616712 20159520890 32255233424 40319041780 80638083560 161276167120