Search a number
-
+
25152401421 = 337379833659
BaseRepresentation
bin10111011011001100…
…110011000000001101
32101220220200101021000
4113123030303000031
5403003003321141
615315503130513
71550204612250
oct273314630015
971826611230
1025152401421
11a737969514
124a5b5a3a39
1324aac96484
1413086d9097
159c32785b6
hex5db33300d

25152401421 has 64 divisors (see below), whose sum is σ = 43793510400. Its totient is φ = 13966302528.

The previous prime is 25152401413. The next prime is 25152401429. The reversal of 25152401421 is 12410425152.

It is a happy number.

25152401421 is a `hidden beast` number, since 2 + 515 + 2 + 4 + 0 + 142 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (25152401413) and next prime (25152401429).

It is not a de Polignac number, because 25152401421 - 23 = 25152401413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25152401429) 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 63 ways as a sum of consecutive naturals, for example, 6872290 + ... + 6875948.

It is an arithmetic number, because the mean of its divisors is an integer number (684273600).

Almost surely, 225152401421 is an apocalyptic number.

25152401421 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

25152401421 is a deficient number, since it is larger than the sum of its proper divisors (18641108979).

25152401421 is a wasteful number, since it uses less digits than its factorization.

25152401421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 25152401421 its reverse (12410425152), we get a palindrome (37562826573).

The spelling of 25152401421 in words is "twenty-five billion, one hundred fifty-two million, four hundred one thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 983 999 2331 2949 3659 6881 6993 8847 10977 20643 25613 26541 32931 36371 61929 76839 98793 109113 135383 185787 230517 254597 327339 406149 691551 763791 947681 982017 1218447 2291373 2843043 3596797 3655341 6874119 8529129 10790391 25177579 25587387 32371173 75532737 97113519 133081489 226598211 399244467 679794633 931570423 1197733401 2794711269 3593200203 8384133807 25152401421