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258404503896 = 2332721147141671
BaseRepresentation
bin1111000010101000011…
…0111101000101011000
3220200222122122220001100
43300222012331011120
513213203023111041
6314413121151400
724445335020400
oct3605206750530
9820878586040
10258404503896
119a652673440
12420b718b560
131b4a135c616
14c714ad3800
156ac5ab76b6
hex3c2a1bd158

258404503896 has 288 divisors, whose sum is σ = 907018145280. Its totient is φ = 65689545600.

The previous prime is 258404503853. The next prime is 258404503909. The reversal of 258404503896 is 698305404852.

258404503896 is a `hidden beast` number, since 2 + 5 + 8 + 40 + 4 + 503 + 8 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1753141 + ... + 1894811.

It is an arithmetic number, because the mean of its divisors is an integer number (3149368560).

Almost surely, 2258404503896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258404503896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453509072640).

258404503896 is an abundant number, since it is smaller than the sum of its proper divisors (648613641384).

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

258404503896 is a wasteful number, since it uses less digits than its factorization.

258404503896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141755 (or 141741 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 258404503896 in words is "two hundred fifty-eight billion, four hundred four million, five hundred three thousand, eight hundred ninety-six".