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2164505544 = 233310020859
BaseRepresentation
bin1000000100000011…
…1011101111001000
312120211220021102000
42001000323233020
513413103134134
6554440511000
7104431664535
oct20100735710
95524807360
102164505544
11a10897063
12504a7b460
13286584816
1416767bd8c
15ca059e99
hex8103bbc8

2164505544 has 32 divisors (see below), whose sum is σ = 6012516000. Its totient is φ = 721501776.

The previous prime is 2164505527. The next prime is 2164505573. The reversal of 2164505544 is 4455054612.

2164505544 is a `hidden beast` number, since 2 + 1 + 64 + 50 + 5 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2164505499 and 2164505508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5010214 + ... + 5010645.

It is an arithmetic number, because the mean of its divisors is an integer number (187891125).

Almost surely, 22164505544 is an apocalyptic number.

2164505544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2164505544 is an abundant number, since it is smaller than the sum of its proper divisors (3848010456).

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

2164505544 is a wasteful number, since it uses less digits than its factorization.

2164505544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020874 (or 10020864 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2164505544 is about 46524.2468396856. The cubic root of 2164505544 is about 1293.5589768797.

The spelling of 2164505544 in words is "two billion, one hundred sixty-four million, five hundred five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 10020859 20041718 30062577 40083436 60125154 80166872 90187731 120250308 180375462 240500616 270563193 360750924 541126386 721501848 1082252772 2164505544