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712727047452 = 22372113106310091
BaseRepresentation
bin10100101111100011101…
…01111010110100011100
32112010200011200101200210
422113301311322310130
543134131111004302
61303231114052420
7102331016642100
oct12276165726434
92463604611623
10712727047452
112552a1923832
12b616aa1a110
1352296120c54
14266d36db900
151381658e66c
hexa5f1d7ad1c

712727047452 has 144 divisors (see below), whose sum is σ = 1953694294272. Its totient is φ = 201624353280.

The previous prime is 712727047433. The next prime is 712727047457. The reversal of 712727047452 is 254740727217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712727047457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70624927 + ... + 70635017.

It is an arithmetic number, because the mean of its divisors is an integer number (13567321488).

Almost surely, 2712727047452 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 712727047452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976847147136).

712727047452 is an abundant number, since it is smaller than the sum of its proper divisors (1240967246820).

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

712727047452 is a wasteful number, since it uses less digits than its factorization.

712727047452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288 (or 11279 counting only the distinct ones).

The product of its (nonzero) digits is 1536640, while the sum is 48.

The spelling of 712727047452 in words is "seven hundred twelve billion, seven hundred twenty-seven million, forty-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 196 226 294 339 452 588 678 791 1063 1356 1582 2126 2373 3164 3189 4252 4746 5537 6378 7441 9492 10091 11074 12756 14882 16611 20182 22148 22323 29764 30273 33222 40364 44646 52087 60546 66444 70637 89292 104174 120119 121092 141274 156261 208348 211911 240238 282548 312522 360357 423822 480476 494459 625044 720714 840833 847644 988918 1140283 1441428 1483377 1681666 1977836 2280566 2522499 2966754 3363332 3420849 4561132 5044998 5885831 5933508 6841698 7981981 10089996 10726733 11771662 13683396 15963962 17657493 21453466 23543324 23945943 31927924 32180199 35314986 42906932 47891886 55873867 64360398 70629972 75087131 95783772 111747734 128720796 150174262 167621601 223495468 225261393 300348524 335243202 450522786 525609917 670486404 901045572 1051219834 1212120829 1576829751 2102439668 2424241658 3153659502 3636362487 4848483316 6307319004 7272724974 8484845803 14545449948 16969691606 25454537409 33939383212 50909074818 59393920621 101818149636 118787841242 178181761863 237575682484 356363523726 712727047452