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15120030672 = 2433192963521
BaseRepresentation
bin11100001010011100…
…10101101111010000
31110000202000010211000
432011032111233100
5221431211440142
610540202422000
71043455066035
oct160516255720
943022003730
1015120030672
11645995491a
122b1b801900
13156c683c16
14a3614b38c
155d762414c
hex385395bd0

15120030672 has 160 divisors (see below), whose sum is σ = 47260368000. Its totient is φ = 4610027520.

The previous prime is 15120030589. The next prime is 15120030677. The reversal of 15120030672 is 27603002151.

It is a happy number.

15120030672 is a `hidden beast` number, since 151 + 200 + 306 + 7 + 2 = 666.

15120030672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15120030677) 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 31 ways as a sum of consecutive naturals, for example, 206272 + ... + 269792.

It is an arithmetic number, because the mean of its divisors is an integer number (295377300).

Almost surely, 215120030672 is an apocalyptic number.

15120030672 is a gapful number since it is divisible by the number (12) 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 15120030672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23630184000).

15120030672 is an abundant number, since it is smaller than the sum of its proper divisors (32140337328).

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

15120030672 is a wasteful number, since it uses less digits than its factorization.

15120030672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63586 (or 63574 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 15120030672 in words is "fifteen billion, one hundred twenty million, thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 29 36 38 48 54 57 58 72 76 87 108 114 116 144 152 171 174 216 228 232 261 304 342 348 432 456 464 513 522 551 684 696 783 912 1026 1044 1102 1368 1392 1566 1653 2052 2088 2204 2736 3132 3306 4104 4176 4408 4959 6264 6612 8208 8816 9918 12528 13224 14877 19836 26448 29754 39672 59508 63521 79344 119016 127042 190563 238032 254084 381126 508168 571689 762252 1016336 1143378 1206899 1524504 1715067 1842109 2286756 2413798 3049008 3430134 3620697 3684218 4573512 4827596 5526327 6860268 7241394 7368436 9147024 9655192 10862091 11052654 13720536 14482788 14736872 16578981 19310384 21724182 22105308 27441072 28965576 29473744 32586273 33157962 35000071 43448364 44210616 49736943 57931152 65172546 66315924 70000142 86896728 88421232 99473886 105000213 130345092 132631848 140000284 173793456 198947772 210000426 260690184 265263696 280000568 315000639 397895544 420000852 521380368 560001136 630001278 795791088 840001704 945001917 1260002556 1680003408 1890003834 2520005112 3780007668 5040010224 7560015336 15120030672