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50200414000 = 24531116313999
BaseRepresentation
bin101110110000001011…
…011000011100110000
311210120112221020221121
4232300023120130300
51310302301222000
635021201032024
73425004323062
oct566013303460
9153515836847
1050200414000
111a320909060
129890025614
1349704405a9
1426031bd732
15148c281b1a
hexbb02d8730

50200414000 has 160 divisors (see below), whose sum is σ = 133241472000. Its totient is φ = 18141408000.

The previous prime is 50200413961. The next prime is 50200414001. The reversal of 50200414000 is 41400205.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (50200414001) 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, 3579001 + ... + 3592999.

It is an arithmetic number, because the mean of its divisors is an integer number (832759200).

Almost surely, 250200414000 is an apocalyptic number.

50200414000 is a gapful number since it is divisible by the number (50) 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 50200414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66620736000).

50200414000 is an abundant number, since it is smaller than the sum of its proper divisors (83041058000).

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

50200414000 is a wasteful number, since it uses less digits than its factorization.

50200414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14196 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 50200414000 its reverse (41400205), we get a palindrome (50241814205).

The spelling of 50200414000 in words is "fifty billion, two hundred million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 163 176 200 220 250 275 326 400 440 500 550 652 815 880 1000 1100 1304 1375 1630 1793 2000 2200 2608 2750 3260 3586 4075 4400 5500 6520 7172 8150 8965 11000 13040 13999 14344 16300 17930 20375 22000 27998 28688 32600 35860 40750 44825 55996 65200 69995 71720 81500 89650 111992 139990 143440 153989 163000 179300 223984 224125 279980 307978 326000 349975 358600 448250 559960 615956 699950 717200 769945 896500 1119920 1231912 1399900 1539890 1749875 1793000 2281837 2463824 2799800 3079780 3499750 3586000 3849725 4563674 5599600 6159560 6999500 7699450 9127348 11409185 12319120 13999000 15398900 18254696 19248625 22818370 25100207 27998000 30797800 36509392 38497250 45636740 50200414 57045925 61595600 76994500 91273480 100400828 114091850 125501035 153989000 182546960 200801656 228183700 251002070 285229625 307978000 401603312 456367400 502004140 570459250 627505175 912734800 1004008280 1140918500 1255010350 2008016560 2281837000 2510020700 3137525875 4563674000 5020041400 6275051750 10040082800 12550103500 25100207000 50200414000