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2180539764 = 2234134491153
BaseRepresentation
bin1000000111111000…
…0110010101110100
312121222001220020000
42001332012111310
513431204233024
61000212311300
7105015165534
oct20176062564
95558056200
102180539764
11a19948887
1250a312530
132899a9b20
141698534c4
15cb675cc9
hex81f86574

2180539764 has 120 divisors (see below), whose sum is σ = 6157859400. Its totient is φ = 668860416.

The previous prime is 2180539763. The next prime is 2180539871. The reversal of 2180539764 is 4679350812.

2180539764 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 343731600 + 1836808164 = 18540^2 + 42858^2 .

2180539764 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180539763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1890612 + ... + 1891764.

It is an arithmetic number, because the mean of its divisors is an integer number (51315495).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2180539764 = 4361079528, but 3⋅2180539764 = 6541619292 is not.

Almost surely, 22180539764 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 2180539764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078929700).

2180539764 is an abundant number, since it is smaller than the sum of its proper divisors (3977319636).

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

2180539764 is a wasteful number, since it uses less digits than its factorization.

2180539764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2180539764 is about 46696.2499993308. The cubic root of 2180539764 is about 1296.7452632276.

The spelling of 2180539764 in words is "two billion, one hundred eighty million, five hundred thirty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 449 468 702 898 1053 1153 1347 1404 1796 2106 2306 2694 3459 4041 4212 4612 5388 5837 6918 8082 10377 11674 12123 13836 14989 16164 17511 20754 23348 24246 29978 31131 35022 36369 41508 44967 48492 52533 59956 62262 70044 72738 89934 93393 105066 124524 134901 145476 157599 179868 186786 210132 269802 315198 373572 404703 472797 517697 539604 630396 809406 945594 1035394 1214109 1553091 1618812 1891188 2070788 2428218 3106182 4659273 4856436 6212364 6730061 9318546 13460122 13977819 18637092 20190183 26920244 27955638 40380366 41933457 55911276 60570549 80760732 83866914 121141098 167733828 181711647 242282196 363423294 545134941 726846588 1090269882 2180539764