Search a number
-
+
25055025024 = 273353184837
BaseRepresentation
bin10111010101011001…
…010101011110000000
32101200010110010221210
4113111121111132000
5402303041300044
615302104050120
71544613125121
oct272531253600
971603403853
1025055025024
11a6979aa157
124a32a63940
132493a60bc3
1412d97cc048
159b99411b9
hex5d5655780

25055025024 has 64 divisors (see below), whose sum is σ = 66741305040. Its totient is φ = 8327970816.

The previous prime is 25055024989. The next prime is 25055025059. The reversal of 25055025024 is 42052055052.

It is an interprime number because it is at equal distance from previous prime (25055024989) and next prime (25055025059).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 25055024982 and 25055025000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 43134 + ... + 227970.

Almost surely, 225055025024 is an apocalyptic number.

25055025024 is a gapful number since it is divisible by the number (24) 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 25055025024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33370652520).

25055025024 is an abundant number, since it is smaller than the sum of its proper divisors (41686280016).

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

25055025024 is a wasteful number, since it uses less digits than its factorization.

25055025024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185207 (or 185195 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The spelling of 25055025024 in words is "twenty-five billion, fifty-five million, twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 353 384 706 1059 1412 2118 2824 4236 5648 8472 11296 16944 22592 33888 45184 67776 135552 184837 369674 554511 739348 1109022 1478696 2218044 2957392 4436088 5914784 8872176 11829568 17744352 23659136 35488704 65247461 70977408 130494922 195742383 260989844 391484766 521979688 782969532 1043959376 1565939064 2087918752 3131878128 4175837504 6263756256 8351675008 12527512512 25055025024