Search a number
-
+
7435774334064 = 2431217127290029
BaseRepresentation
bin110110000110100011010…
…1100000001010001110000
3222022212000220020210221210
41230031012230001101300
51433311431212142224
623451540401520120
71365134263663236
oct154150654012160
928285026223853
107435774334064
11240754884138a
12a01129943040
1341c26272517b
141b9c716ac956
15cd64cb30429
hex6c346b01470

7435774334064 has 40 divisors (see below), whose sum is σ = 19224867810960. Its totient is φ = 2476554784768.

The previous prime is 7435774334047. The next prime is 7435774334069. The reversal of 7435774334064 is 4604334775347.

It is a super-3 number, since 3×74357743340643 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7435774333995 and 7435774334013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7435774334069) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 63586599 + ... + 63703430.

It is an arithmetic number, because the mean of its divisors is an integer number (480621695274).

Almost surely, 27435774334064 is an apocalyptic number.

It is an amenable number.

7435774334064 is an abundant number, since it is smaller than the sum of its proper divisors (11789093476896).

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

7435774334064 is a wasteful number, since it uses less digits than its factorization.

7435774334064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127291257 (or 127291251 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 57.

The spelling of 7435774334064 in words is "seven trillion, four hundred thirty-five billion, seven hundred seventy-four million, three hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1217 2434 3651 4868 7302 9736 14604 19472 29208 58416 127290029 254580058 381870087 509160116 763740174 1018320232 1527480348 2036640464 3054960696 6109921392 154911965293 309823930586 464735895879 619647861172 929471791758 1239295722344 1858943583516 2478591444688 3717887167032 7435774334064