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605420935744 = 2619251192
BaseRepresentation
bin10001100111101011110…
…01100101101001000000
32010212200211022010100011
420303311321211221000
534404400224420434
61142043155434304
761511616021262
oct10636571455100
92125624263304
10605420935744
11213837375889
12994022b5994
1345124a7a9b1
14214341d9b32
1510b35c20e64
hex8cf5e65a40

605420935744 has 63 divisors (see below), whose sum is σ = 1268188479747. Its totient is φ = 286722315648.

The previous prime is 605420935733. The next prime is 605420935747. The reversal of 605420935744 is 447539024506.

The square root of 605420935744 is 778088.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (605420935747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 118266817 + ... + 118271935.

It is an arithmetic number, because the mean of its divisors is an integer number (20129975869).

Almost surely, 2605420935744 is an apocalyptic number.

605420935744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

605420935744 is the 778088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 605420935744

605420935744 is an abundant number, since it is smaller than the sum of its proper divisors (662767544003).

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

605420935744 is an frugal number, since it uses more digits than its factorization.

605420935744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10288 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

Multiplying 605420935744 by its sum of digits (49), we get a square (29665625851456 = 54466162).

The spelling of 605420935744 in words is "six hundred five billion, four hundred twenty million, nine hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5119 5776 10238 11552 20476 23104 40952 81904 97261 163808 194522 327616 389044 778088 1556176 1847959 3112352 3695918 6224704 7391836 14783672 26204161 29567344 52408322 59134688 104816644 118269376 209633288 419266576 497879059 838533152 995758118 1677066304 1991516236 3983032472 7966064944 9459702121 15932129888 18919404242 31864259776 37838808484 75677616968 151355233936 302710467872 605420935744