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2058653344 = 251121927983
BaseRepresentation
bin111101010110100…
…1000111010100000
312022110201102111011
41322231020322200
513204003401334
6540140030304
7102005156536
oct17255107240
95273642434
102058653344
11967068800
12495532394
1326a672397
141575a6156
15c0aeb564
hex7ab48ea0

2058653344 has 72 divisors (see below), whose sum is σ = 4689558720. Its totient is φ = 886469760.

The previous prime is 2058653329. The next prime is 2058653351. The reversal of 2058653344 is 4433568502.

It is a junction number, because it is equal to n+sod(n) for n = 2058653297 and 2058653306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59577 + ... + 87559.

It is an arithmetic number, because the mean of its divisors is an integer number (65132760).

Almost surely, 22058653344 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 2058653344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344779360).

2058653344 is an abundant number, since it is smaller than the sum of its proper divisors (2630905376).

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

2058653344 is a wasteful number, since it uses less digits than its factorization.

2058653344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28034 (or 28015 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The square root of 2058653344 is about 45372.3852579959. The cubic root of 2058653344 is about 1272.1190044640.

The spelling of 2058653344 in words is "two billion, fifty-eight million, six hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 121 152 176 209 242 304 352 418 484 608 836 968 1672 1936 2299 3344 3872 4598 6688 9196 18392 27983 36784 55966 73568 111932 223864 307813 447728 531677 615626 895456 1063354 1231252 2126708 2462504 3385943 4253416 4925008 5848447 6771886 8506832 9850016 11696894 13543772 17013664 23393788 27087544 46787576 54175088 64332917 93575152 108350176 128665834 187150304 257331668 514663336 1029326672 2058653344