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2152779345 = 32531267743
BaseRepresentation
bin1000000001010000…
…1100111001010001
312120000211112002100
42000110030321101
513402102414340
6553341311013
7104230215423
oct20024147121
95500745070
102152779345
11a05207a92
12500b65469
1328400a342
14165ca8813
15c8ee0830
hex8050ce51

2152779345 has 72 divisors (see below), whose sum is σ = 3918552768. Its totient is φ = 1093055040.

The previous prime is 2152779311. The next prime is 2152779373. The reversal of 2152779345 is 5439772512.

It is a happy number.

2152779345 is a `hidden beast` number, since 21 + 527 + 79 + 34 + 5 = 666.

It is not a de Polignac number, because 2152779345 - 28 = 2152779089 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2152779345.

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 71 ways as a sum of consecutive naturals, for example, 2897044 + ... + 2897786.

It is an arithmetic number, because the mean of its divisors is an integer number (54424344).

Almost surely, 22152779345 is an apocalyptic number.

It is an amenable number.

2152779345 is a deficient number, since it is larger than the sum of its proper divisors (1765773423).

2152779345 is a wasteful number, since it uses less digits than its factorization.

2152779345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 849 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 2152779345 is about 46398.0532457990. The cubic root of 2152779345 is about 1291.2187958349.

The spelling of 2152779345 in words is "two billion, one hundred fifty-two million, seven hundred seventy-nine thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 31 45 67 93 155 201 279 335 465 603 743 961 1005 1395 2077 2229 2883 3015 3715 4805 6231 6687 8649 10385 11145 14415 18693 23033 31155 33435 43245 49781 64387 69099 93465 115165 149343 193161 207297 248905 321935 345495 448029 579483 714023 746715 965805 1036485 1543211 2142069 2240145 2897415 3570115 4629633 6426207 7716055 10710345 13888899 23148165 32131035 47839541 69444495 143518623 239197705 430555869 717593115 2152779345