Search a number
-
+
251052345500154 = 231161382116319749
BaseRepresentation
bin111001000101010010101101…
…110111111010000111111010
31012220220100222121111200011020
4321011102231313322013322
5230401220200422001104
62245535504431043310
7103610635105145412
oct7105225567720772
91186810877450136
10251052345500154
1172aa177a128360
12241a7762670536
13aa11199933703
1445dcdd96b9642
151e056aabb82d9
hexe454addfa1fa

251052345500154 has 64 divisors (see below), whose sum is σ = 556875826416000. Its totient is φ = 74809724832000.

The previous prime is 251052345500153. The next prime is 251052345500219. The reversal of 251052345500154 is 451005543250152.

It is a happy number.

It is a super-3 number, since 3×2510523455001543 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (251052345500153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7223472 + ... + 23543220.

It is an arithmetic number, because the mean of its divisors is an integer number (8701184787750).

Almost surely, 2251052345500154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251052345500154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278437913208000).

251052345500154 is an abundant number, since it is smaller than the sum of its proper divisors (305823480915846).

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

251052345500154 is a wasteful number, since it uses less digits than its factorization.

251052345500154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16323647.

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 251052345500154 in words is "two hundred fifty-one trillion, fifty-two billion, three hundred forty-five million, five hundred thousand, one hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 671 1342 2013 3821 4026 7642 11463 22926 42031 84062 126093 233081 252186 466162 699243 1398486 2563891 5127782 7691673 15383346 16319749 32639498 48959247 97918494 179517239 359034478 538551717 995504689 1077103434 1991009378 2986514067 5973028134 10950551579 21901103158 32851654737 62357760929 65703309474 124715521858 187073282787 374146565574 685935370219 1371870740438 2057806110657 3803823416669 4115612221314 7607646833338 11411470250007 22822940500014 41842057583359 83684115166718 125526172750077 251052345500154