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734754080664 = 2332137151493301
BaseRepresentation
bin10101011000100101100…
…00011000011110011000
32121020112021102121202200
422230102300120132120
544014234021040124
61321312533530200
7104040614431602
oct12542260303630
92536467377680
10734754080664
1126367558390a
12ba4977a3960
1354396749706
14277c2cb8172
15141a525cbc9
hexab12c18798

734754080664 has 96 divisors (see below), whose sum is σ = 2017763036640. Its totient is φ = 241519680000.

The previous prime is 734754080663. The next prime is 734754080699. The reversal of 734754080664 is 466080457437.

734754080664 is a `hidden beast` number, since 7 + 34 + 7 + 540 + 8 + 0 + 6 + 64 = 666.

It is a super-3 number, since 3×7347540806643 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 734754080664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734754080663) 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 23 ways as a sum of consecutive naturals, for example, 1242814 + ... + 1736114.

It is an arithmetic number, because the mean of its divisors is an integer number (21018364965).

Almost surely, 2734754080664 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 734754080664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008881518320).

734754080664 is an abundant number, since it is smaller than the sum of its proper divisors (1283008955976).

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

734754080664 is a wasteful number, since it uses less digits than its factorization.

734754080664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493601 (or 493594 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 734754080664 in words is "seven hundred thirty-four billion, seven hundred fifty-four million, eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 151 274 302 411 453 548 604 822 906 1096 1208 1233 1359 1644 1812 2466 2718 3288 3624 4932 5436 9864 10872 20687 41374 62061 82748 124122 165496 186183 248244 372366 493301 496488 744732 986602 1479903 1489464 1973204 2959806 3946408 4439709 5919612 8879418 11839224 17758836 35517672 67582237 74488451 135164474 148976902 202746711 223465353 270328948 297953804 405493422 446930706 540657896 595907608 608240133 670396059 810986844 893861412 1216480266 1340792118 1621973688 1787722824 2432960532 2681584236 4865921064 5363168472 10204917787 20409835574 30614753361 40819671148 61229506722 81639342296 91844260083 122459013444 183688520166 244918026888 367377040332 734754080664