Search a number
-
+
251423252532 = 22344118926773
BaseRepresentation
bin1110101000100111111…
…1100110000000110100
3220000222010012120120000
43222021333212000310
513104403323040112
6311300252511300
724110334246024
oct3521177460064
9800863176500
10251423252532
119769a964a11
124088917b530
131a92abbc35a
14c251857a84
156817c537dc
hex3a89fe6034

251423252532 has 60 divisors (see below), whose sum is σ = 673301058276. Its totient is φ = 81763655040.

The previous prime is 251423252519. The next prime is 251423252533. The reversal of 251423252532 is 235252324152.

It is a happy number.

251423252532 is a `hidden beast` number, since 2 + 5 + 1 + 42 + 32 + 52 + 532 = 666.

251423252532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 102863884176 + 148559368356 = 320724^2 + 385434^2 .

It is a super-2 number, since 2×2514232525322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251423252533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9450103 + ... + 9476670.

Almost surely, 2251423252532 is an apocalyptic number.

It is an amenable number.

251423252532 is an abundant number, since it is smaller than the sum of its proper divisors (421877805744).

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

251423252532 is a wasteful number, since it uses less digits than its factorization.

251423252532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18926830 (or 18926819 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 251423252532 its reverse (235252324152), we get a palindrome (486675576684).

The spelling of 251423252532 in words is "two hundred fifty-one billion, four hundred twenty-three million, two hundred fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 13284 18926773 37853546 56780319 75707092 113560638 170340957 227121276 340681914 511022871 681363828 775997693 1022045742 1533068613 1551995386 2044091484 2327993079 3066137226 3103990772 4655986158 6132274452 6983979237 9311972316 13967958474 20951937711 27935916948 41903875422 62855813133 83807750844 125711626266 251423252532