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2575249298020 = 2257793133672027
BaseRepresentation
bin100101011110011000110…
…100011101001001100100
3100010012011112212222020101
4211132120310131021210
5314143102310014040
65251015253513444
7354025035601060
oct45363064351144
910105145788211
102575249298020
11903180101683
12357125942884
13158aca513399
148c8dd922aa0
1546ec4ebe09a
hex25798d1d264

2575249298020 has 192 divisors, whose sum is σ = 6299044577280. Its totient is φ = 866185602048.

The previous prime is 2575249297987. The next prime is 2575249298021. The reversal of 2575249298020 is 208929425752.

It is a super-3 number, since 3×25752492980203 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2575249298021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1270472247 + ... + 1270474273.

It is an arithmetic number, because the mean of its divisors is an integer number (32807523840).

Almost surely, 22575249298020 is an apocalyptic number.

2575249298020 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 2575249298020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149522288640).

2575249298020 is an abundant number, since it is smaller than the sum of its proper divisors (3723795279260).

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

2575249298020 is a wasteful number, since it uses less digits than its factorization.

2575249298020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 2575249298020 in words is "two trillion, five hundred seventy-five billion, two hundred forty-nine million, two hundred ninety-eight thousand, twenty".