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5586130944 = 21132378191
BaseRepresentation
bin1010011001111010…
…11001100000000000
3112102022021212001200
411030331121200000
542420022142234
62322150101200
7255300221022
oct51475314000
915368255050
105586130944
112407252949
1210ba94a800
136b040c834
143adc78012
1522a634d99
hex14cf59800

5586130944 has 144 divisors (see below), whose sum is σ = 16571842560. Its totient is φ = 1811496960.

The previous prime is 5586130933. The next prime is 5586130961. The reversal of 5586130944 is 4490316855.

5586130944 is a `hidden beast` number, since 558 + 6 + 1 + 3 + 0 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×55861309442 = 62409717847028662272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5586130944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677889 + ... + 686079.

It is an arithmetic number, because the mean of its divisors is an integer number (115082240).

Almost surely, 25586130944 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 5586130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285921280).

5586130944 is an abundant number, since it is smaller than the sum of its proper divisors (10985711616).

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

5586130944 is a wasteful number, since it uses less digits than its factorization.

5586130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5586130944 is about 74740.4237611749. The cubic root of 5586130944 is about 1774.3407927300.

The spelling of 5586130944 in words is "five billion, five hundred eighty-six million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2048 2304 2368 2664 3072 3552 4608 4736 5328 6144 7104 8191 9216 9472 10656 14208 16382 18432 18944 21312 24573 28416 32764 37888 42624 49146 56832 65528 73719 75776 85248 98292 113664 131056 147438 170496 196584 227328 262112 294876 303067 340992 393168 524224 589752 606134 681984 786336 909201 1048448 1179504 1212268 1572672 1818402 2096896 2359008 2424536 2727603 3145344 3636804 4193792 4718016 4849072 5455206 6290688 7273608 8387584 9436032 9698144 10910412 12581376 14547216 16775168 18872064 19396288 21820824 25162752 29094432 37744128 38792576 43641648 50325504 58188864 75488256 77585152 87283296 116377728 150976512 155170304 174566592 232755456 310340608 349133184 465510912 620681216 698266368 931021824 1396532736 1862043648 2793065472 5586130944