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506673680672 = 252315720892099
BaseRepresentation
bin1110101111110000001…
…10101101000100100000
31210102210221220211001202
413113320012231010200
531300131430240142
61024432423220332
751414563140325
oct7277006550440
91712727824052
10506673680672
111859740a1575
1282243ba76a8
1338a1896c353
141a7476b8b4c
15d2a6990032
hex75f81ad120

506673680672 has 96 divisors (see below), whose sum is σ = 1048514544000. Its totient is φ = 240548825088.

The previous prime is 506673680671. The next prime is 506673680717. The reversal of 506673680672 is 276086376605.

It is not an unprimeable number, because it can be changed into a prime (506673680671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241387079 + ... + 241389177.

It is an arithmetic number, because the mean of its divisors is an integer number (10922026500).

Almost surely, 2506673680672 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 506673680672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524257272000).

506673680672 is an abundant number, since it is smaller than the sum of its proper divisors (541840863328).

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

506673680672 is a wasteful number, since it uses less digits than its factorization.

506673680672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 506673680672 in words is "five hundred six billion, six hundred seventy-three million, six hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 92 157 184 314 368 628 736 1256 2089 2099 2512 3611 4178 4198 5024 7222 8356 8396 14444 16712 16792 28888 33424 33584 48047 48277 57776 66848 67168 96094 96554 115552 192188 193108 327973 329543 384376 386216 655946 659086 768752 772432 1311892 1318172 1537504 1544864 2623784 2636344 4384811 5247568 5272688 7543379 7579489 8769622 10495136 10545376 15086758 15158978 17539244 30173516 30317956 35078488 60347032 60635912 70156976 100850653 120694064 121271824 140313952 201701306 241388128 242543648 403402612 688415327 806805224 1376830654 1613610448 2753661308 3227220896 5507322616 11014645232 15833552521 22029290464 31667105042 63334210084 126668420168 253336840336 506673680672