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2164475376 = 243272147297
BaseRepresentation
bin1000000100000011…
…0100010111110000
312120211211202000200
42001000310113300
513413101203001
6554440115200
7104431510560
oct20100642760
95524752020
102164475376
11a10876428
12504a65b00
13286573b7b
14167670da0
15ca051086
hex810345f0

2164475376 has 60 divisors (see below), whose sum is σ = 6922888752. Its totient is φ = 618421248.

The previous prime is 2164475353. The next prime is 2164475381. The reversal of 2164475376 is 6735744612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1072641 + ... + 1074656.

Almost surely, 22164475376 is an apocalyptic number.

It is an amenable number.

2164475376 is an abundant number, since it is smaller than the sum of its proper divisors (4758413376).

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

2164475376 is a wasteful number, since it uses less digits than its factorization.

2164475376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147318 (or 2147309 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 2164475376 is about 46523.9226205186. The cubic root of 2164475376 is about 1293.5529671517.

It can be divided in two parts, 21644 and 75376, that added together give a triangular number (97020 = T440).

The spelling of 2164475376 in words is "two billion, one hundred sixty-four million, four hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2147297 4294594 6441891 8589188 12883782 15031079 17178376 19325673 25767564 30062158 34356752 38651346 45093237 51535128 60124316 77302692 90186474 103070256 120248632 135279711 154605384 180372948 240497264 270559422 309210768 360745896 541118844 721491792 1082237688 2164475376