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5345775435 = 3571113439811
BaseRepresentation
bin1001111101010001…
…00000111101001011
3111210120000112021210
410332220200331023
541422004303220
62242242304203
7246321225060
oct47650407513
914716015253
105345775435
1122a3607230
121052358063
13672695c40
14389d8cc67
152144a86e0
hex13ea20f4b

5345775435 has 128 divisors (see below), whose sum is σ = 11524423680. Its totient is φ = 2043532800.

The previous prime is 5345775373. The next prime is 5345775469.

5345775435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5345775435 - 213 = 5345767243 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6591180 + ... + 6591990.

It is an arithmetic number, because the mean of its divisors is an integer number (90034560).

Almost surely, 25345775435 is an apocalyptic number.

5345775435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5345775435 is an abundant number, since it is smaller than the sum of its proper divisors (6178648245).

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

5345775435 is a wasteful number, since it uses less digits than its factorization.

5345775435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289.

The product of its digits is 4410000, while the sum is 48.

The square root of 5345775435 is about 73114.8099566702. The cubic root of 5345775435 is about 1748.5185214327.

The spelling of 5345775435 in words is "five billion, three hundred forty-five million, seven hundred seventy-five thousand, four hundred thirty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 195 231 273 385 429 439 455 715 811 1001 1155 1317 1365 2145 2195 2433 3003 3073 4055 4829 5005 5677 5707 6585 8921 9219 10543 12165 14487 15015 15365 17031 17121 24145 26763 28385 28535 31629 33803 39949 44605 46095 52715 62447 62777 72435 73801 85155 85605 101409 115973 119847 133815 158145 169015 187341 188331 199745 221403 312235 313885 347919 356029 369005 439439 507045 579865 599235 811811 936705 941655 1068087 1107015 1318317 1739595 1780145 2197195 2435433 2492203 3916319 4059055 4628377 5340435 6591585 7476609 11748957 12177165 12461015 13885131 19581595 23141885 27414233 32398639 37383045 50912147 58744785 69425655 82242699 97195917 137071165 152736441 161993195 254560735 356385029 411213495 485979585 763682205 1069155087 1781925145 5345775435