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2553271860 = 2235239911867
BaseRepresentation
bin1001100000101111…
…1101011000110100
320120221102122112110
42120023331120310
520212114144420
61101205251020
7120162311166
oct23013753064
96527378473
102553271860
1110a0289a37
125b3103a70
13318c91b69
141a315a936
15ee24eee0
hex982fd634

2553271860 has 96 divisors (see below), whose sum is σ = 7471521792. Its totient is φ = 650263680.

The previous prime is 2553271823. The next prime is 2553271921. The reversal of 2553271860 is 681723552.

2553271860 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1366647 + ... + 1368513.

It is an arithmetic number, because the mean of its divisors is an integer number (77828352).

Almost surely, 22553271860 is an apocalyptic number.

2553271860 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 2553271860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735760896).

2553271860 is an abundant number, since it is smaller than the sum of its proper divisors (4918249932).

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

2553271860 is a wasteful number, since it uses less digits than its factorization.

2553271860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 2553271860 is about 50529.9105481100. The cubic root of 2553271860 is about 1366.7812728268.

The spelling of 2553271860 in words is "two billion, five hundred fifty-three million, two hundred seventy-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 991 1380 1867 1982 2973 3734 3964 4955 5601 5946 7468 9335 9910 11202 11892 14865 18670 19820 22404 22793 28005 29730 37340 42941 45586 56010 59460 68379 85882 91172 112020 113965 128823 136758 171764 214705 227930 257646 273516 341895 429410 455860 515292 644115 683790 858820 1288230 1367580 1850197 2576460 3700394 5550591 7400788 9250985 11101182 18501970 22202364 27752955 37003940 42554531 55505910 85109062 111011820 127663593 170218124 212772655 255327186 425545310 510654372 638317965 851090620 1276635930 2553271860