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2164553604 = 22354747381
BaseRepresentation
bin1000000100000100…
…0111011110000100
312120211222201100000
42001001013132010
513413111203404
6554441521300
7104432254623
oct20101073604
95524881300
102164553604
11a1091a184
12504aa3230
132865a0665
141676916ba
15ca069339
hex81047784

2164553604 has 72 divisors (see below), whose sum is σ = 5795008128. Its totient is φ = 706151520.

The previous prime is 2164553593. The next prime is 2164553609. The reversal of 2164553604 is 4063554612.

2164553604 is a `hidden beast` number, since 2 + 1 + 6 + 45 + 5 + 3 + 604 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2164553609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21994 + ... + 69374.

It is an arithmetic number, because the mean of its divisors is an integer number (80486224).

Almost surely, 22164553604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164553604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897504064).

2164553604 is an abundant number, since it is smaller than the sum of its proper divisors (3630454524).

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

2164553604 is a wasteful number, since it uses less digits than its factorization.

2164553604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47447 (or 47433 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2164553604 is about 46524.7633416872. The cubic root of 2164553604 is about 1293.5685507343.

The spelling of 2164553604 in words is "two billion, one hundred sixty-four million, five hundred fifty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 243 282 324 423 486 564 846 972 1269 1692 2538 3807 5076 7614 11421 15228 22842 45684 47381 94762 142143 189524 284286 426429 568572 852858 1279287 1705716 2226907 2558574 3837861 4453814 5117148 6680721 7675722 8907628 11513583 13361442 15351444 20042163 23027166 26722884 40084326 46054332 60126489 80168652 120252978 180379467 240505956 360758934 541138401 721517868 1082276802 2164553604