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2061617628 = 223743718039
BaseRepresentation
bin111101011100001…
…1100100111011100
312022200022000201110
41322320130213130
513210233231003
6540323342020
7102042314010
oct17270344734
95280260643
102061617628
11968802924
12496521910
1326b16c6b5
14157b38540
15c0ed4a03
hex7ae1c9dc

2061617628 has 96 divisors (see below), whose sum is σ = 5705441280. Its totient is φ = 567161280.

The previous prime is 2061617617. The next prime is 2061617633. The reversal of 2061617628 is 8267161602.

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, 252433 + ... + 260471.

It is an arithmetic number, because the mean of its divisors is an integer number (59431680).

Almost surely, 22061617628 is an apocalyptic number.

2061617628 is a gapful number since it is divisible by the number (28) 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 2061617628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852720640).

2061617628 is an abundant number, since it is smaller than the sum of its proper divisors (3643823652).

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

2061617628 is a wasteful number, since it uses less digits than its factorization.

2061617628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8167 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2061617628 is about 45405.0396762298. The cubic root of 2061617628 is about 1272.7292923388.

The spelling of 2061617628 in words is "two billion, sixty-one million, six hundred seventeen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 71 84 86 129 142 172 213 258 284 301 426 497 516 602 852 903 994 1204 1491 1806 1988 2982 3053 3612 5964 6106 8039 9159 12212 16078 18318 21371 24117 32156 36636 42742 48234 56273 64113 85484 96468 112546 128226 168819 225092 256452 337638 345677 570769 675276 691354 1037031 1141538 1382708 1712307 2074062 2283076 2419739 3424614 3995383 4148124 4839478 6849228 7259217 7990766 9678956 11986149 14518434 15981532 23972298 24543067 29036868 47944596 49086134 73629201 98172268 147258402 171801469 294516804 343602938 515404407 687205876 1030808814 2061617628