Search a number
-
+
25402105000 = 23545395857
BaseRepresentation
bin10111101010000101…
…010101110010101000
32102120022112122011201
4113222011111302220
5404010414330000
615400343133544
71556326221106
oct275205256250
972508478151
1025402105000
11a85590a508
124b0b1442b4
13251a933c7c
14132d938c76
159da14e96a
hex5ea155ca8

25402105000 has 80 divisors (see below), whose sum is σ = 60640729380. Its totient is φ = 9969024000.

The previous prime is 25402104989. The next prime is 25402105009. The reversal of 25402105000 is 50120452.

It can be written as a sum of positive squares in 10 ways, for example, as 4093696324 + 21308408676 = 63982^2 + 145974^2 .

It is not an unprimeable number, because it can be changed into a prime (25402105009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 217072 + ... + 312928.

Almost surely, 225402105000 is an apocalyptic number.

25402105000 is a gapful number since it is divisible by the number (20) 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 25402105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30320364690).

25402105000 is an abundant number, since it is smaller than the sum of its proper divisors (35238624380).

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

25402105000 is an equidigital number, since it uses as much as digits as its factorization.

25402105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95936 (or 95917 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 25402105000 its reverse (50120452), we get a palindrome (25452225452).

The spelling of 25402105000 in words is "twenty-five billion, four hundred two million, one hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 625 1000 1060 1250 1325 2120 2500 2650 5000 5300 6625 10600 13250 26500 33125 53000 66250 95857 132500 191714 265000 383428 479285 766856 958570 1917140 2396425 3834280 4792850 5080421 9585700 10160842 11982125 19171400 20321684 23964250 25402105 40643368 47928500 50804210 59910625 95857000 101608420 119821250 127010525 203216840 239642500 254021050 479285000 508042100 635052625 1016084200 1270105250 2540210500 3175263125 5080421000 6350526250 12701052500 25402105000