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2164908963 = 371931181967
BaseRepresentation
bin1000000100001001…
…1110001110100011
312120212122202210110
42001002132032203
513413204041323
6554453302403
7104435264640
oct20102361643
95525582713
102164908963
11a11042168
12505034a03
13286696329
14167744dc7
15ca0d9793
hex8109e3a3

2164908963 has 64 divisors (see below), whose sum is σ = 3608084480. Its totient is φ = 1126742400.

The previous prime is 2164908947. The next prime is 2164908973. The reversal of 2164908963 is 3698094612.

It is not a de Polignac number, because 2164908963 - 24 = 2164908947 is a prime.

It is a super-3 number, since 3×21649089633 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2164908943) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2238306 + ... + 2239272.

It is an arithmetic number, because the mean of its divisors is an integer number (56376320).

Almost surely, 22164908963 is an apocalyptic number.

2164908963 is a deficient number, since it is larger than the sum of its proper divisors (1443175517).

2164908963 is a wasteful number, since it uses less digits than its factorization.

2164908963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208.

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 2164908963 is about 46528.5822156661. The cubic root of 2164908963 is about 1293.6393360874.

The spelling of 2164908963 in words is "two billion, one hundred sixty-four million, nine hundred eight thousand, nine hundred sixty-three".

Divisors: 1 3 7 19 21 31 57 93 133 181 217 399 543 589 651 967 1267 1767 2901 3439 3801 4123 5611 6769 10317 12369 16833 18373 20307 24073 29977 39277 55119 72219 89931 106609 117831 128611 175027 209839 319827 385833 525081 569563 629517 746263 1225189 1708689 2238789 3325513 3675567 3986941 5425837 9976539 11960823 16277511 23278591 37980859 69835773 103090903 113942577 309272709 721636321 2164908963