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258200253831 = 31316340616683
BaseRepresentation
bin1111000001110111101…
…1110011010110000111
3220200110102022220122010
43300131323303112013
513212243231110311
6314340543305303
724440304642222
oct3603573632607
9820412286563
10258200253831
119a558348333
124205a8ab233
131b46ac479b0
14c6d59265b9
156ab2bbdda6
hex3c1def3587

258200253831 has 16 divisors (see below), whose sum is σ = 373023625856. Its totient is φ = 157917659616.

The previous prime is 258200253811. The next prime is 258200253853. The reversal of 258200253831 is 138352002852.

It is not a de Polignac number, because 258200253831 - 25 = 258200253799 is a prime.

It is a super-2 number, since 2×2582002538312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 258200253831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258200253811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20301985 + ... + 20314698.

It is an arithmetic number, because the mean of its divisors is an integer number (23313976616).

Almost surely, 2258200253831 is an apocalyptic number.

258200253831 is a deficient number, since it is larger than the sum of its proper divisors (114823372025).

258200253831 is a wasteful number, since it uses less digits than its factorization.

258200253831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40616862.

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 258200253831 in words is "two hundred fifty-eight billion, two hundred million, two hundred fifty-three thousand, eight hundred thirty-one".

Divisors: 1 3 13 39 163 489 2119 6357 40616683 121850049 528016879 1584050637 6620519329 19861557987 86066751277 258200253831