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2164477880 = 235677431087
BaseRepresentation
bin1000000100000011…
…0100111110111000
312120211211212110102
42001000310332320
513413101243010
6554440134532
7104431521065
oct20100647670
95524755412
102164477880
11a108782a4
12504a67448
13286575056
14167671c6c
15ca051ba5
hex81034fb8

2164477880 has 64 divisors (see below), whose sum is σ = 4953968640. Its totient is φ = 850937472.

The previous prime is 2164477873. The next prime is 2164477907. The reversal of 2164477880 is 887744612.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1990697 + ... + 1991783.

It is an arithmetic number, because the mean of its divisors is an integer number (77405760).

Almost surely, 22164477880 is an apocalyptic number.

2164477880 is a gapful number since it is divisible by the number (20) 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 2164477880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476984320).

2164477880 is an abundant number, since it is smaller than the sum of its proper divisors (2789490760).

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

2164477880 is a wasteful number, since it uses less digits than its factorization.

2164477880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The square root of 2164477880 is about 46523.9495313973. The cubic root of 2164477880 is about 1293.5534659724.

The spelling of 2164477880 in words is "two billion, one hundred sixty-four million, four hundred seventy-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 743 1087 1340 1486 2174 2680 2972 3715 4348 5435 5944 7430 8696 10870 14860 21740 29720 43480 49781 72829 99562 145658 199124 248905 291316 364145 398248 497810 582632 728290 807641 995620 1456580 1615282 1991240 2913160 3230564 4038205 6461128 8076410 16152820 32305640 54111947 108223894 216447788 270559735 432895576 541119470 1082238940 2164477880