Base | Representation |
---|---|
bin | 10111011110011100000001… |
… | …01110001000000000000000 |
3 | 20202210010221112001020200000 |
4 | 23233032000232020000000 |
5 | 23231244131101140124 |
6 | 301443241030400000 |
7 | 13605444161511510 |
oct | 1357160056100000 |
9 | 222703845036600 |
10 | 51623371505664 |
11 | 154a339243a712 |
12 | 5958b56800000 |
13 | 22a60a8680bba |
14 | ca6827c8b840 |
15 | 5e7c97e896c9 |
hex | 2ef380b88000 |
51623371505664 has 1536 divisors, whose sum is σ = 185150949984000. Its totient is φ = 14062121385984.
The previous prime is 51623371505663. The next prime is 51623371505669. The reversal of 51623371505664 is 46650517332615.
51623371505664 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 3 + 3 + 71 + 5 + 0 + 566 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a super-2 number, since 2×516233715056642 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 51623371505664.
It is not an unprimeable number, because it can be changed into a prime (51623371505663) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176188981102 + ... + 176188981394.
Almost surely, 251623371505664 is an apocalyptic number.
51623371505664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 51623371505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92575474992000).
51623371505664 is an abundant number, since it is smaller than the sum of its proper divisors (133527578478336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
51623371505664 is an equidigital number, since it uses as much as digits as its factorization.
51623371505664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 483 (or 443 counting only the distinct ones).
The product of its (nonzero) digits is 13608000, while the sum is 54.
The spelling of 51623371505664 in words is "fifty-one trillion, six hundred twenty-three billion, three hundred seventy-one million, five hundred five thousand, six hundred sixty-four".
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