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706042145550 = 235273718173543
BaseRepresentation
bin10100100011000110110…
…01000010101100001110
32111111102021212012020110
422101203121002230032
543031433242124200
61300203513300450
7102003245134140
oct12214331025416
92444367765213
10706042145550
11252481426015
12b4a04104726
135176c1a0cb1
142625b964c90
1513574767b50
hexa463642b0e

706042145550 has 96 divisors (see below), whose sum is σ = 2055209743872. Its totient is φ = 157019402880.

The previous prime is 706042145527. The next prime is 706042145551. The reversal of 706042145550 is 55541240607.

It is a super-2 number, since 2×7060421455502 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 706042145499 and 706042145508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706042145551) 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 47 ways as a sum of consecutive naturals, for example, 9047922 + ... + 9125621.

It is an arithmetic number, because the mean of its divisors is an integer number (21408434832).

Almost surely, 2706042145550 is an apocalyptic number.

706042145550 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

706042145550 is an abundant number, since it is smaller than the sum of its proper divisors (1349167598322).

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

706042145550 is a wasteful number, since it uses less digits than its factorization.

706042145550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18173602 (or 18173597 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 706042145550 in words is "seven hundred six billion, forty-two million, one hundred forty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 50 70 74 75 105 111 150 175 185 210 222 259 350 370 518 525 555 777 925 1050 1110 1295 1554 1850 2590 2775 3885 5550 6475 7770 12950 19425 38850 18173543 36347086 54520629 90867715 109041258 127214801 181735430 254429602 272603145 381644403 454338575 545206290 636074005 672421091 763288806 908677150 1272148010 1344842182 1363015725 1908222015 2017263273 2726031450 3180370025 3362105455 3816444030 4034526546 4706947637 6360740050 6724210910 9413895274 9541110075 10086316365 14120842911 16810527275 19082220150 20172632730 23534738185 28241685822 33621054550 47069476370 50431581825 70604214555 100863163650 117673690925 141208429110 235347381850 353021072775 706042145550