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2164943046 = 237475320693
BaseRepresentation
bin1000000100001010…
…0110100011000110
312120212201111112210
42001002212203012
513413211134141
6554454124250
7104435466210
oct20102464306
95525644483
102164943046
11a11065832
12505050686
132866a89b6
141677535b0
15ca0e4916
hex810a68c6

2164943046 has 64 divisors (see below), whose sum is σ = 5149329408. Its totient is φ = 593943168.

The previous prime is 2164942961. The next prime is 2164943051. The reversal of 2164943046 is 6403494612.

It is a junction number, because it is equal to n+sod(n) for n = 2164942995 and 2164943013.

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 31 ways as a sum of consecutive naturals, for example, 94276 + ... + 114968.

It is an arithmetic number, because the mean of its divisors is an integer number (80458272).

Almost surely, 22164943046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164943046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574664704).

2164943046 is an abundant number, since it is smaller than the sum of its proper divisors (2984386362).

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

2164943046 is a wasteful number, since it uses less digits than its factorization.

2164943046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20805.

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2164943046 is about 46528.9484729668. The cubic root of 2164943046 is about 1293.6461248067.

The spelling of 2164943046 in words is "two billion, one hundred sixty-four million, nine hundred forty-three thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 47 53 94 106 141 159 282 318 329 371 658 742 987 1113 1974 2226 2491 4982 7473 14946 17437 20693 34874 41386 52311 62079 104622 124158 144851 289702 434553 869106 972571 1096729 1945142 2193458 2917713 3290187 5835426 6580374 6807997 7677103 13615994 15354206 20423991 23031309 40847982 46062618 51546263 103092526 154638789 309277578 360823841 721647682 1082471523 2164943046