Search a number
-
+
2054423510500 = 225341100215781
BaseRepresentation
bin11101111001010101001…
…011101111110111100100
321021101211022021122020011
4131321111023233313210
5232124424404314000
64211442241420004
7301266346465624
oct35712513576744
97241738248204
102054423510500
11722304570839
122921b233a604
1311b9678a931a
1471612898884
1538690da22ba
hex1de552efde4

2054423510500 has 48 divisors (see below), whose sum is σ = 4596296625648. Its totient is φ = 801726240000.

The previous prime is 2054423510473. The next prime is 2054423510501. The reversal of 2054423510500 is 50153244502.

It can be written as a sum of positive squares in 8 ways, for example, as 1411168181476 + 643255329024 = 1187926^2 + 802032^2 .

It is a super-2 number, since 2×20544235105002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2054423510501) 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, 50087391 + ... + 50128390.

It is an arithmetic number, because the mean of its divisors is an integer number (95756179701).

Almost surely, 22054423510500 is an apocalyptic number.

2054423510500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2054423510500 is an abundant number, since it is smaller than the sum of its proper divisors (2541873115148).

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

2054423510500 is a wasteful number, since it uses less digits than its factorization.

2054423510500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100215841 (or 100215829 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 2054423510500 in words is "two trillion, fifty-four billion, four hundred twenty-three million, five hundred ten thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 820 1025 2050 4100 5125 10250 20500 100215781 200431562 400863124 501078905 1002157810 2004315620 2505394525 4108847021 5010789050 8217694042 10021578100 12526972625 16435388084 20544235105 25053945250 41088470210 50107890500 82176940420 102721175525 205442351050 410884702100 513605877625 1027211755250 2054423510500