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5415298180 = 2252961269569
BaseRepresentation
bin1010000101100011…
…01110010010000100
3111222101211122120021
411002301232102010
542042304020210
62253204344524
7251124163225
oct50261562204
914871748507
105415298180
112329881746
1210716a5144
13683bc8466
143952c924c
1521a63cbda
hex142c6e484

5415298180 has 96 divisors (see below), whose sum is σ = 12022668000. Its totient is φ = 2045890560.

The previous prime is 5415298177. The next prime is 5415298193. The reversal of 5415298180 is 818925145.

It can be written as a sum of positive squares in 16 ways, for example, as 4704862464 + 710435716 = 68592^2 + 26654^2 .

It is a super-2 number, since 2×54152981802 = 58650908756622624800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9516936 + ... + 9517504.

It is an arithmetic number, because the mean of its divisors is an integer number (125236125).

Almost surely, 25415298180 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 5415298180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011334000).

5415298180 is an abundant number, since it is smaller than the sum of its proper divisors (6607369820).

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

5415298180 is a wasteful number, since it uses less digits than its factorization.

5415298180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 43.

The square root of 5415298180 is about 73588.7095959700. The cubic root of 5415298180 is about 1756.0658271513.

The spelling of 5415298180 in words is "five billion, four hundred fifteen million, two hundred ninety-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 269 290 305 538 569 580 610 1076 1138 1220 1345 1769 2276 2690 2845 3538 5380 5690 7076 7801 8845 11380 15602 16409 16501 17690 31204 32818 33002 34709 35380 39005 65636 66004 69418 78010 82045 82505 138836 153061 156020 164090 165010 173545 306122 328180 330020 347090 475861 612244 694180 765305 951722 1006561 1530610 1903444 2013122 2379305 3061220 4026244 4438769 4758610 5032805 8877538 9336721 9517220 10065610 17755076 18673442 20131220 22193845 37346884 44387690 46683605 88775380 93367210 186734420 270764909 541529818 1083059636 1353824545 2707649090 5415298180