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10487639152 = 241925334259
BaseRepresentation
bin10011100010001110…
…01010110001110000
31000001220100021021201
421301013022301300
5132434313423102
64452402300544
7520615314304
oct116107126160
930056307251
1010487639152
1144a1aa9581
122048357754
13cb1a35253
14716c1bd04
15415ad3987
hex2711cac70

10487639152 has 60 divisors (see below), whose sum is σ = 21850822440. Its totient is φ = 4873954176.

The previous prime is 10487639143. The next prime is 10487639203. The reversal of 10487639152 is 25193678401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288999 + ... + 323257.

It is an arithmetic number, because the mean of its divisors is an integer number (364180374).

It is a 1-persistent number, because it is pandigital, but 2⋅10487639152 = 20975278304 is not.

Almost surely, 210487639152 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 10487639152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10925411220).

10487639152 is an abundant number, since it is smaller than the sum of its proper divisors (11363183288).

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

10487639152 is a wasteful number, since it uses less digits than its factorization.

10487639152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34358 (or 34333 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10487639152 in words is "ten billion, four hundred eighty-seven million, six hundred thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 361 424 722 848 1007 1444 2014 2888 4028 5776 8056 16112 19133 34259 38266 68518 76532 137036 153064 274072 306128 548144 650921 1301842 1815727 2603684 3631454 5207368 7262908 10414736 12367499 14525816 24734998 29051632 34498813 49469996 68997626 98939992 137995252 197879984 275990504 551981008 655477447 1310954894 2621909788 5243819576 10487639152