Search a number
-
+
25489852416 = 211387271
BaseRepresentation
bin10111101111010100…
…000100100000000000
32102210102122200000000
4113233110010200000
5404200400234131
615413200000000
71561443112350
oct275724044000
972712580000
1025489852416
11a8a03a2436
124b34600000
132532b77812
14133b45ab60
159e2bd3ce6
hex5ef504800

25489852416 has 432 divisors, whose sum is σ = 87690395520. Its totient is φ = 7255941120.

The previous prime is 25489852391. The next prime is 25489852483. The reversal of 25489852416 is 61425898452.

25489852416 is a `hidden beast` number, since 2 + 548 + 9 + 8 + 52 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×254898524162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94058361 + ... + 94058631.

Almost surely, 225489852416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25489852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43845197760).

25489852416 is an abundant number, since it is smaller than the sum of its proper divisors (62200543104).

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

25489852416 is an frugal number, since it uses more digits than its factorization.

25489852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 283 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 25489852416 in words is "twenty-five billion, four hundred eighty-nine million, eight hundred fifty-two thousand, four hundred sixteen".