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2566755420 = 2235101423557
BaseRepresentation
bin1001100011111101…
…1001010001011100
320121212210200111120
42120333121101130
520224042133140
61102410250540
7120415026645
oct23077312134
96555720446
102566755420
1110a7959379
125b7726a50
1331ba031b8
141a4c6a6cc
151005151d0
hex98fd945c

2566755420 has 48 divisors (see below), whose sum is σ = 7258089888. Its totient is φ = 677689600.

The previous prime is 2566755413. The next prime is 2566755473. The reversal of 2566755420 is 245576652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205719 + ... + 217838.

It is an arithmetic number, because the mean of its divisors is an integer number (151210206).

Almost surely, 22566755420 is an apocalyptic number.

2566755420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2566755420 is an abundant number, since it is smaller than the sum of its proper divisors (4691334468).

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

2566755420 is a wasteful number, since it uses less digits than its factorization.

2566755420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423670 (or 423668 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The square root of 2566755420 is about 50663.1564354216. The cubic root of 2566755420 is about 1369.1829927215.

The spelling of 2566755420 in words is "two billion, five hundred sixty-six million, seven hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 423557 847114 1270671 1694228 2117785 2541342 4235570 5082684 6353355 8471140 12706710 25413420 42779257 85558514 128337771 171117028 213896285 256675542 427792570 513351084 641688855 855585140 1283377710 2566755420