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165170585840 = 24513158817871
BaseRepresentation
bin1001100111010011101…
…1110010000011110000
3120210100000121010100012
42121310323302003300
510201232132221330
6203513414514052
714635036546331
oct2316473620360
9523300533305
10165170585840
11640595428a7
1228017365928
1312763554380
147dcc4dc288
15446a88cc95
hex2674ef20f0

165170585840 has 40 divisors (see below), whose sum is σ = 413561738688. Its totient is φ = 60986062080.

The previous prime is 165170585807. The next prime is 165170585843. The reversal of 165170585840 is 48585071561.

165170585840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165170585843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79407896 + ... + 79409975.

Almost surely, 2165170585840 is an apocalyptic number.

165170585840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165170585840 is an abundant number, since it is smaller than the sum of its proper divisors (248391152848).

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

165170585840 is a wasteful number, since it uses less digits than its factorization.

165170585840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158817897 (or 158817891 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 50.

The spelling of 165170585840 in words is "one hundred sixty-five billion, one hundred seventy million, five hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 158817871 317635742 635271484 794089355 1270542968 1588178710 2064632323 2541085936 3176357420 4129264646 6352714840 8258529292 10323161615 12705429680 16517058584 20646323230 33034117168 41292646460 82585292920 165170585840