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536672547312 = 243117119077507
BaseRepresentation
bin1111100111101000010…
…11010011000111110000
31220022020122002010202120
413303310023103013300
532243101133003222
61050313255114240
753526150246036
oct7636413230760
91808218063676
10536672547312
11197668731040
1288016672980
133b7b9a28605
141bd9190a556
15de6044315c
hex7cf42d31f0

536672547312 has 160 divisors (see below), whose sum is σ = 1534751483904. Its totient is φ = 160232083200.

The previous prime is 536672547311. The next prime is 536672547319. The reversal of 536672547312 is 213745276635.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536672547311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71485863 + ... + 71493369.

Almost surely, 2536672547312 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 536672547312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767375741952).

536672547312 is an abundant number, since it is smaller than the sum of its proper divisors (998078936592).

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

536672547312 is a wasteful number, since it uses less digits than its factorization.

536672547312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9507 (or 9501 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 51.

The spelling of 536672547312 in words is "five hundred thirty-six billion, six hundred seventy-two million, five hundred forty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 781 852 1136 1562 1704 1907 2343 3124 3408 3814 4686 5721 6248 7507 7628 9372 11442 12496 15014 15256 18744 20977 22521 22884 30028 30512 37488 41954 45042 45768 60056 62931 82577 83908 90084 91536 120112 125862 135397 165154 167816 180168 247731 251724 270794 330308 335632 360336 406191 495462 503448 532997 541588 660616 812382 990924 1006896 1065994 1083176 1321232 1489367 1598991 1624764 1981848 2131988 2166352 2978734 3197982 3249528 3963696 4263976 4468101 5862967 5957468 6395964 6499056 8527952 8936202 11725934 11914936 12791928 14315849 17588901 17872404 23451868 23829872 25583856 28631698 35177802 35744808 42947547 46903736 57263396 70355604 71489616 85895094 93807472 114526792 140711208 157474339 171790188 229053584 281422416 314948678 343580376 472423017 629897356 687160752 944846034 1016425279 1259794712 1889692068 2032850558 2519589424 3049275837 3779384136 4065701116 6098551674 7558768272 8131402232 11180678069 12197103348 16262804464 22361356138 24394206696 33542034207 44722712276 48788413392 67084068414 89445424552 134168136828 178890849104 268336273656 536672547312