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15160220480 = 26568832
BaseRepresentation
bin11100001111001111…
…01001101101000000
31110010112121222212102
432013213221231000
5222022004023410
610544200045532
71044453514346
oct160747515500
943115558772
1015160220480
11647a605039
122b311638a8
131577ab5c82
14a3b60d996
155dae122a5
hex3879e9b40

15160220480 has 42 divisors (see below), whose sum is σ = 36105520626. Its totient is φ = 6063207168.

The previous prime is 15160220477. The next prime is 15160220519. The reversal of 15160220480 is 8402206151.

15160220480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12128176384 + 3032044096 = 110128^2 + 55064^2 .

It is a super-2 number, since 2×151602204802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2199119 + ... + 2206001.

It is an arithmetic number, because the mean of its divisors is an integer number (859655253).

Almost surely, 215160220480 is an apocalyptic number.

15160220480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15160220480 is an abundant number, since it is smaller than the sum of its proper divisors (20945300146).

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

15160220480 is an frugal number, since it uses more digits than its factorization.

15160220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13783 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 15160220480 in words is "fifteen billion, one hundred sixty million, two hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6883 13766 27532 34415 55064 68830 110128 137660 220256 275320 440512 550640 1101280 2202560 47375689 94751378 189502756 236878445 379005512 473756890 758011024 947513780 1516022048 1895027560 3032044096 3790055120 7580110240 15160220480