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2167938045 = 325713529411
BaseRepresentation
bin1000000100111000…
…0001101111111101
312121002100122220200
42001032001233331
513414443004140
6555042234113
7104503112040
oct20116015775
95532318820
102167938045
11a12820a39
12506055939
132871b6ca0
14167cd2c57
15ca4d7030
hex81381bfd

2167938045 has 48 divisors (see below), whose sum is σ = 4624943232. Its totient is φ = 914820480.

The previous prime is 2167938037. The next prime is 2167938049. The reversal of 2167938045 is 5408397612.

2167938045 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2167938045 - 23 = 2167938037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

2167938045 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 (2167938049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260611 + ... + 268800.

It is an arithmetic number, because the mean of its divisors is an integer number (96352984).

It is a 1-persistent number, because it is pandigital, but 2⋅2167938045 = 4335876090 is not.

Almost surely, 22167938045 is an apocalyptic number.

It is an amenable number.

2167938045 is an abundant number, since it is smaller than the sum of its proper divisors (2457005187).

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

2167938045 is a wasteful number, since it uses less digits than its factorization.

2167938045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529442 (or 529439 counting only the distinct ones).

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

The square root of 2167938045 is about 46561.1216037586. The cubic root of 2167938045 is about 1294.2423966228.

The spelling of 2167938045 in words is "two billion, one hundred sixty-seven million, nine hundred thirty-eight thousand, forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 529411 1588233 2647055 3705877 4764699 6882343 7941165 11117631 18529385 20647029 23823495 33352893 34411715 48176401 55588155 61941087 103235145 144529203 166764465 240882005 309705435 433587609 722646015 2167938045