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2030556264 = 2331171127853
BaseRepresentation
bin111100100000111…
…1101010001101000
312020111211221112120
41321001331101220
513124310300024
6533253511240
7101214305052
oct17101752150
95214757476
102030556264
11952217a80
12488042520
132648b55a9
141539708d2
15bd3eb479
hex7907d468

2030556264 has 128 divisors (see below), whose sum is σ = 5666734080. Its totient is φ = 601171200.

The previous prime is 2030556233. The next prime is 2030556301. The reversal of 2030556264 is 4626550302.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2380062 + ... + 2380914.

It is an arithmetic number, because the mean of its divisors is an integer number (44271360).

Almost surely, 22030556264 is an apocalyptic number.

2030556264 is a gapful number since it is divisible by the number (24) 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 2030556264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833367040).

2030556264 is an abundant number, since it is smaller than the sum of its proper divisors (3636177816).

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

2030556264 is a wasteful number, since it uses less digits than its factorization.

2030556264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2030556264 is about 45061.6939761479. The cubic root of 2030556264 is about 1266.3050608913.

The spelling of 2030556264 in words is "two billion, thirty million, five hundred fifty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 127 132 142 213 254 264 284 381 426 508 568 762 781 852 853 1016 1397 1524 1562 1704 1706 2343 2559 2794 3048 3124 3412 4191 4686 5118 5588 6248 6824 8382 9017 9372 9383 10236 11176 16764 18034 18744 18766 20472 27051 28149 33528 36068 37532 54102 56298 60563 72136 75064 99187 108204 108331 112596 121126 181689 198374 216408 216662 225192 242252 297561 324993 363378 396748 433324 484504 595122 649986 666193 726756 793496 866648 1190244 1191641 1299972 1332386 1453512 1998579 2380488 2383282 2599944 2664772 3574923 3997158 4766564 5329544 7149846 7691501 7994316 9533128 14299692 15383002 15988632 23074503 28599384 30766004 46149006 61532008 84606511 92298012 169213022 184596024 253819533 338426044 507639066 676852088 1015278132 2030556264