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2063880168 = 2337194713757
BaseRepresentation
bin111101100000100…
…0100111111101000
312022211112222100020
41323001010333220
513211323131133
6540444040440
7102100456230
oct17301047750
95284488306
102063880168
1196a008799
12497233120
1326b78248c
14158166cc0
15c12d00b3
hex7b044fe8

2063880168 has 128 divisors (see below), whose sum is σ = 6339686400. Its totient is φ = 546718464.

The previous prime is 2063880151. The next prime is 2063880209. The reversal of 2063880168 is 8610883602.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 143146 + ... + 156902.

It is an arithmetic number, because the mean of its divisors is an integer number (49528800).

Almost surely, 22063880168 is an apocalyptic number.

2063880168 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 2063880168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169843200).

2063880168 is an abundant number, since it is smaller than the sum of its proper divisors (4275806232).

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

2063880168 is a wasteful number, since it uses less digits than its factorization.

2063880168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13839 (or 13835 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2063880168 is about 45429.9479198469. The cubic root of 2063880168 is about 1273.1947113576.

The spelling of 2063880168 in words is "two billion, sixty-three million, eight hundred eighty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 47 56 57 76 84 94 114 133 141 152 168 188 228 266 282 329 376 399 456 532 564 658 798 893 987 1064 1128 1316 1596 1786 1974 2632 2679 3192 3572 3948 5358 6251 7144 7896 10716 12502 13757 18753 21432 25004 27514 37506 41271 50008 55028 75012 82542 96299 110056 150024 165084 192598 261383 288897 330168 385196 522766 577794 646579 770392 784149 1045532 1155588 1293158 1568298 1829681 1939737 2091064 2311176 2586316 3136596 3659362 3879474 4526053 5172632 5489043 6273192 7318724 7758948 9052106 10978086 12285001 13578159 14637448 15517896 18104212 21956172 24570002 27156318 36208424 36855003 43912344 49140004 54312636 73710006 85995007 98280008 108625272 147420012 171990014 257985021 294840024 343980028 515970042 687960056 1031940084 2063880168