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161287853228816 = 241910718047274751
BaseRepresentation
bin100100101011000011000001…
…001100101100001100010000
3210011001222010210202120220212
4210223003001030230030100
5132120020010411310231
61331010341125223252
745654443234124326
oct4453030114541420
9704058123676825
10161287853228816
11474338814224a6
121610a7bb861b28
136bcc4c14189a2
142bb85337cbd16
15139a701bd442b
hex92b0c132c310

161287853228816 has 80 divisors (see below), whose sum is σ = 332036165468160. Its totient is φ = 75681026064000.

The previous prime is 161287853228783. The next prime is 161287853228833. The reversal of 161287853228816 is 618822358782161.

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 15 ways as a sum of consecutive naturals, for example, 586895441 + ... + 587170191.

It is an arithmetic number, because the mean of its divisors is an integer number (4150452068352).

Almost surely, 2161287853228816 is an apocalyptic number.

161287853228816 is a gapful number since it is divisible by the number (16) 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 161287853228816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166018082734080).

161287853228816 is an abundant number, since it is smaller than the sum of its proper divisors (170748312239344).

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

161287853228816 is a wasteful number, since it uses less digits than its factorization.

161287853228816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292932 (or 292926 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 68.

The spelling of 161287853228816 in words is "one hundred sixty-one trillion, two hundred eighty-seven billion, eight hundred fifty-three million, two hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 107 152 214 304 428 856 1712 2033 4066 8132 16264 18047 32528 36094 72188 144376 274751 288752 342893 549502 685786 1099004 1371572 1931029 2198008 2743144 3862058 4396016 5220269 5486288 7724116 10440538 15448232 20881076 29398357 30896464 36689551 41762152 58796714 73379102 83524304 117593428 146758204 235186856 293516408 470373712 558568783 587032816 1117137566 2234275132 4468550264 4958431297 8937100528 9916862594 19833725188 39667450376 79334900752 94210194643 188420389286 376840778572 530552148779 753681557144 1061104297558 1507363114288 2122208595116 4244417190232 8488834380464 10080490826801 20160981653602 40321963307204 80643926614408 161287853228816