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258552406921 = 17101739203767
BaseRepresentation
bin1111000011001011101…
…1001010001110001001
3220201100221222010212011
43300302323022032021
513214003404010141
6314435523215521
724452112124504
oct3606273121611
9821327863764
10258552406921
119a719103146
12421388175a1
131b4c5ba5bc3
14c72a5d413b
156ad3a80881
hex3c32eca389

258552406921 has 16 divisors (see below), whose sum is σ = 276847355520. Its totient is φ = 240606892800.

The previous prime is 258552406919. The next prime is 258552406933. The reversal of 258552406921 is 129604255852.

258552406921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 258552406921 - 21 = 258552406919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258552406991) 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 15 ways as a sum of consecutive naturals, for example, 1166980 + ... + 1370746.

It is an arithmetic number, because the mean of its divisors is an integer number (17302959720).

Almost surely, 2258552406921 is an apocalyptic number.

It is an amenable number.

258552406921 is a deficient number, since it is larger than the sum of its proper divisors (18294948599).

258552406921 is a wasteful number, since it uses less digits than its factorization.

258552406921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204624.

The product of its (nonzero) digits is 1728000, while the sum is 49.

The spelling of 258552406921 in words is "two hundred fifty-eight billion, five hundred fifty-two million, four hundred six thousand, nine hundred twenty-one".

Divisors: 1 17 101 739 1717 12563 74639 203767 1268863 3464039 20580467 150583813 349867939 2559924821 15208965113 258552406921