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2563213032 = 233371397421
BaseRepresentation
bin1001100011000111…
…1000011011101000
320121122010201021000
42120301320123220
520222140304112
61102202315000
7120342644202
oct23061703350
96548121230
102563213032
1110a5959986
125b64b8a60
1331b062a03
141a45c7772
151000657dc
hex98c786e8

2563213032 has 128 divisors (see below), whose sum is σ = 7255699200. Its totient is φ = 838252800.

The previous prime is 2563213001. The next prime is 2563213033. The reversal of 2563213032 is 2303123652.

2563213032 is a `hidden beast` number, since 25 + 632 + 1 + 3 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×25632130322 = 13140122094829266048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2563212987 and 2563213005.

It is not an unprimeable number, because it can be changed into a prime (2563213033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6088182 + ... + 6088602.

It is an arithmetic number, because the mean of its divisors is an integer number (56685150).

Almost surely, 22563213032 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 2563213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627849600).

2563213032 is an abundant number, since it is smaller than the sum of its proper divisors (4692486168).

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

2563213032 is a wasteful number, since it uses less digits than its factorization.

2563213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2563213032 is about 50628.1841665292. The cubic root of 2563213032 is about 1368.5528313477.

Adding to 2563213032 its reverse (2303123652), we get a palindrome (4866336684).

The spelling of 2563213032 in words is "two billion, five hundred sixty-three million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 397 421 426 568 639 794 842 852 1191 1263 1278 1588 1684 1704 1917 2382 2526 2556 3176 3368 3573 3789 3834 4764 5052 5112 7146 7578 7668 9528 10104 10719 11367 14292 15156 15336 21438 22734 28187 28584 29891 30312 42876 45468 56374 59782 84561 85752 89673 90936 112748 119564 167137 169122 179346 225496 239128 253683 269019 334274 338244 358692 501411 507366 538038 668548 676488 717384 761049 807057 1002822 1014732 1076076 1337096 1504233 1522098 1614114 2005644 2029464 2152152 3008466 3044196 3228228 4011288 4512699 6016932 6088392 6456456 9025398 11866727 12033864 18050796 23733454 35600181 36101592 47466908 71200362 94933816 106800543 142400724 213601086 284801448 320401629 427202172 640803258 854404344 1281606516 2563213032