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2058536916 = 223414942641
BaseRepresentation
bin111101010110010…
…1100011111010100
312022110111111210000
41322230230133110
513203441140131
6540133331300
7102004163232
oct17254543724
95273444700
102058536916
11966a99287
12495496b30
1326a6313a7
14157575952
15c0ac6ce6
hex7ab2c7d4

2058536916 has 60 divisors (see below), whose sum is σ = 5417666100. Its totient is φ = 681557760.

The previous prime is 2058536827. The next prime is 2058536923. The reversal of 2058536916 is 6196358502.

2058536916 is a `hidden beast` number, since 2 + 0 + 585 + 3 + 69 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 733868100 + 1324668816 = 27090^2 + 36396^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26956 + ... + 69596.

It is an arithmetic number, because the mean of its divisors is an integer number (90294435).

Almost surely, 22058536916 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 2058536916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708833050).

2058536916 is an abundant number, since it is smaller than the sum of its proper divisors (3359129184).

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

2058536916 is a wasteful number, since it uses less digits than its factorization.

2058536916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42806 (or 42795 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2058536916 is about 45371.1022127521. The cubic root of 2058536916 is about 1272.0950222713.

The spelling of 2058536916 in words is "two billion, fifty-eight million, five hundred thirty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 298 324 447 596 894 1341 1788 2682 4023 5364 8046 12069 16092 24138 42641 48276 85282 127923 170564 255846 383769 511692 767538 1151307 1535076 2302614 3453921 4605228 6353509 6907842 12707018 13815684 19060527 25414036 38121054 57181581 76242108 114363162 171544743 228726324 343089486 514634229 686178972 1029268458 2058536916