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5085450100 = 2252735991163
BaseRepresentation
bin1001011110001110…
…11100111101110100
3111010102011122001201
410233013130331310
540403333400400
62200342502244
7240010420063
oct45707347564
914112148051
105085450100
11217a670a25
12b9b134984
13630779893
143635861da
151eb6d506a
hex12f1dcf74

5085450100 has 72 divisors (see below), whose sum is σ = 11214907200. Its totient is φ = 2001242880.

The previous prime is 5085450067. The next prime is 5085450109. The reversal of 5085450100 is 10545805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5085450109) 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, 4372119 + ... + 4373281.

It is an arithmetic number, because the mean of its divisors is an integer number (155762600).

Almost surely, 25085450100 is an apocalyptic number.

5085450100 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 5085450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607453600).

5085450100 is an abundant number, since it is smaller than the sum of its proper divisors (6129457100).

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

5085450100 is a wasteful number, since it uses less digits than its factorization.

5085450100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 5085450100 is about 71312.3418490797. The cubic root of 5085450100 is about 1719.6621497050.

Adding to 5085450100 its reverse (10545805), we get a palindrome (5095995905).

The spelling of 5085450100 in words is "five billion, eighty-five million, four hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 599 730 1163 1198 1460 1825 2326 2396 2995 3650 4652 5815 5990 7300 11630 11980 14975 23260 29075 29950 43727 58150 59900 84899 87454 116300 169798 174908 218635 339596 424495 437270 696637 848990 874540 1093175 1393274 1697980 2122475 2186350 2786548 3483185 4244950 4372700 6966370 8489900 13932740 17415925 34831850 50854501 69663700 101709002 203418004 254272505 508545010 1017090020 1271362525 2542725050 5085450100