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15116114720 = 255715189381
BaseRepresentation
bin11100001001111110…
…11001101100100000
31110000110122012010202
432010333121230200
5221424211132340
610535542444332
71043406566210
oct160477315440
943013565122
1015116114720
11645771a7a3
122b1a4336a8
13156b9126a5
14a3580c240
155d70edc15
hex384fd9b20

15116114720 has 96 divisors (see below), whose sum is σ = 41084257536. Its totient is φ = 5148288000.

The previous prime is 15116114711. The next prime is 15116114729. The reversal of 15116114720 is 2741161151.

15116114720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15116114711) and next prime (15116114729).

It is not an unprimeable number, because it can be changed into a prime (15116114729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124430 + ... + 213810.

It is an arithmetic number, because the mean of its divisors is an integer number (427961016).

Almost surely, 215116114720 is an apocalyptic number.

15116114720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15116114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20542128768).

15116114720 is an abundant number, since it is smaller than the sum of its proper divisors (25968142816).

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

15116114720 is a wasteful number, since it uses less digits than its factorization.

15116114720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89554 (or 89546 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 29.

Adding to 15116114720 its reverse (2741161151), we get a palindrome (17857275871).

The spelling of 15116114720 in words is "fifteen billion, one hundred sixteen million, one hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 151 160 224 280 302 560 604 755 1057 1120 1208 1510 2114 2416 3020 4228 4832 5285 6040 8456 10570 12080 16912 21140 24160 33824 42280 84560 89381 169120 178762 357524 446905 625667 715048 893810 1251334 1430096 1787620 2502668 2860192 3128335 3575240 5005336 6256670 7150480 10010672 12513340 13496531 14300960 20021344 25026680 26993062 50053360 53986124 67482655 94475717 100106720 107972248 134965310 188951434 215944496 269930620 377902868 431888992 472378585 539861240 755805736 944757170 1079722480 1511611472 1889514340 2159444960 3023222944 3779028680 7558057360 15116114720