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505051056072 = 2332443115113757
BaseRepresentation
bin1110101100101110110…
…00111000011111001000
31210021121212122221120100
413112113120320133020
531233321032243242
61024003420525400
751326431100343
oct7262730703710
91707555587510
10505051056072
11185211177702
1281a706b0860
133881a744654
141a631db545a
15d20e2c254c
hex75976387c8

505051056072 has 96 divisors (see below), whose sum is σ = 1372225121280. Its totient is φ = 167812195200.

The previous prime is 505051056061. The next prime is 505051056073. The reversal of 505051056072 is 270650150505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (505051056073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36705418 + ... + 36719174.

It is an arithmetic number, because the mean of its divisors is an integer number (14294011680).

Almost surely, 2505051056072 is an apocalyptic number.

It is an amenable number.

505051056072 is an abundant number, since it is smaller than the sum of its proper divisors (867174065208).

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

505051056072 is a wasteful number, since it uses less digits than its factorization.

505051056072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15363 (or 15356 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 505051056072 in words is "five hundred five billion, fifty-one million, fifty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 443 886 1151 1329 1772 2302 2658 3453 3544 3987 4604 5316 6906 7974 9208 10359 10632 13757 13812 15948 20718 27514 27624 31896 41271 41436 55028 82542 82872 110056 123813 165084 247626 330168 495252 509893 990504 1019786 1529679 2039572 3059358 4079144 4589037 6094351 6118716 9178074 12188702 12237432 15834307 18283053 18356148 24377404 31668614 36566106 36712296 47502921 48754808 54849159 63337228 73132212 95005842 109698318 126674456 142508763 146264424 190011684 219396636 285017526 380023368 438793272 570035052 1140070104 7014598001 14029196002 21043794003 28058392004 42087588006 56116784008 63131382009 84175176012 126262764018 168350352024 252525528036 505051056072