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5105605512 = 2337173157667
BaseRepresentation
bin1001100000101000…
…10101101110001000
3111011211002122002110
410300110111232020
540424013334022
62202342502320
7240343634160
oct46024255610
914154078073
105105605512
11218aa87a97
12ba5a349a0
136349b5967
143661115a0
151ed36700c
hex130515b88

5105605512 has 128 divisors (see below), whose sum is σ = 15944048640. Its totient is φ = 1328624640.

The previous prime is 5105605493. The next prime is 5105605513. The reversal of 5105605512 is 2155065015.

It is a self number, because there is not a number n which added to its sum of digits gives 5105605512.

It is not an unprimeable number, because it can be changed into a prime (5105605513) 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 31 ways as a sum of consecutive naturals, for example, 59703 + ... + 117369.

It is an arithmetic number, because the mean of its divisors is an integer number (124562880).

Almost surely, 25105605512 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 5105605512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7972024320).

5105605512 is an abundant number, since it is smaller than the sum of its proper divisors (10838443128).

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

5105605512 is a wasteful number, since it uses less digits than its factorization.

5105605512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57731 (or 57727 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The square root of 5105605512 is about 71453.5199412877. The cubic root of 5105605512 is about 1721.9310284642.

The spelling of 5105605512 in words is "five billion, one hundred five million, six hundred five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 31 34 42 51 56 62 68 84 93 102 119 124 136 168 186 204 217 238 248 357 372 408 434 476 527 651 714 744 868 952 1054 1302 1428 1581 1736 2108 2604 2856 3162 3689 4216 5208 6324 7378 11067 12648 14756 22134 29512 44268 57667 88536 115334 173001 230668 346002 403669 461336 692004 807338 980339 1211007 1384008 1614676 1787677 1960678 2422014 2941017 3229352 3575354 3921356 4844028 5363031 5882034 6862373 7150708 7842712 9688056 10726062 11764068 12513739 13724746 14301416 20587119 21452124 23528136 25027478 27449492 30390509 37541217 41174238 42904248 50054956 54898984 60781018 75082434 82348476 91171527 100109912 121562036 150164868 164696952 182343054 212733563 243124072 300329736 364686108 425467126 638200689 729372216 850934252 1276401378 1701868504 2552802756 5105605512