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256500535555242 = 2321119223293532501
BaseRepresentation
bin111010010100100100101111…
…010011100111010010101010
31020122012012201100021121112100
4322110210233103213102222
5232110001044100231432
62305310415211554230
7105012360246420156
oct7224445723472252
91218165640247470
10256500535555242
11748022a2402920
122492763245b976
13b017b871131b4
14474a999410066
151e9c27a80807c
hexe9492f4e74aa

256500535555242 has 288 divisors, whose sum is σ = 669962730842496. Its totient is φ = 70194405600000.

The previous prime is 256500535555181. The next prime is 256500535555291. The reversal of 256500535555242 is 242555535005652.

256500535555242 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 0 + 0 + 535 + 55 + 52 + 4 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 481423992 + ... + 481956492.

It is an arithmetic number, because the mean of its divisors is an integer number (2326259482092).

Almost surely, 2256500535555242 is an apocalyptic number.

256500535555242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 256500535555242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334981365421248).

256500535555242 is an abundant number, since it is smaller than the sum of its proper divisors (413462195287254).

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

256500535555242 is a wasteful number, since it uses less digits than its factorization.

256500535555242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532874 (or 532852 counting only the distinct ones).

The product of its (nonzero) digits is 45000000, while the sum is 54.

The spelling of 256500535555242 in words is "two hundred fifty-six trillion, five hundred billion, five hundred thirty-five million, five hundred fifty-five thousand, two hundred forty-two".