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2010561056 = 25737367661
BaseRepresentation
bin111011111010110…
…1011101000100000
312012010020002021022
41313311223220200
513104200423211
6531301145012
7100552326020
oct16765535040
95163202238
102010561056
11941a00309
124813bb168
132607043ca
14151047a80
15bb79bbdb
hex77d6ba20

2010561056 has 96 divisors (see below), whose sum is σ = 4665733632. Its totient is φ = 834831360.

The previous prime is 2010561029. The next prime is 2010561061. The reversal of 2010561056 is 6501650102.

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, 3041366 + ... + 3042026.

It is an arithmetic number, because the mean of its divisors is an integer number (48601392).

Almost surely, 22010561056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010561056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332866816).

2010561056 is an abundant number, since it is smaller than the sum of its proper divisors (2655172576).

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

2010561056 is a wasteful number, since it uses less digits than its factorization.

2010561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 2010561056 is about 44839.2802796833. The cubic root of 2010561056 is about 1262.1348405881.

The spelling of 2010561056 in words is "two billion, ten million, five hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 367 518 592 661 734 1036 1184 1322 1468 2072 2569 2644 2936 4144 4627 5138 5288 5872 8288 9254 10276 10576 11744 13579 18508 20552 21152 24457 27158 37016 41104 48914 54316 74032 82208 95053 97828 108632 148064 171199 190106 195656 217264 242587 342398 380212 391312 434528 485174 684796 760424 782624 970348 1369592 1520848 1698109 1940696 2739184 3041696 3396218 3881392 5478368 6792436 7762784 8975719 13584872 17951438 27169744 35902876 54339488 62830033 71805752 125660066 143611504 251320132 287223008 502640264 1005280528 2010561056