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2293520857920 = 26355415989137
BaseRepresentation
bin100001011000000000011…
…111101111101101000000
322010020222102010100200000
4201120000133233231000
5300034112314423140
64513343503400000
7324462404426355
oct41300037575500
98106872110600
102293520857920
11804749806806
123105bb5b3000
1313837cc65ba6
147d0152da62c
153e9d695aa30
hex216007efb40

2293520857920 has 1344 divisors, whose sum is σ = 8681174611200. Its totient is φ = 575750799360.

The previous prime is 2293520857891. The next prime is 2293520857981. The reversal of 2293520857920 is 297580253922.

2293520857920 is a `hidden beast` number, since 2 + 2 + 93 + 520 + 8 + 5 + 7 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16741028092 + ... + 16741028228.

It is an arithmetic number, because the mean of its divisors is an integer number (6459207300).

Almost surely, 22293520857920 is an apocalyptic number.

2293520857920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293520857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340587305600).

2293520857920 is an abundant number, since it is smaller than the sum of its proper divisors (6387653753280).

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

2293520857920 is a wasteful number, since it uses less digits than its factorization.

2293520857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2293520857920 in words is "two trillion, two hundred ninety-three billion, five hundred twenty million, eight hundred fifty-seven thousand, nine hundred twenty".