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10487967072 = 253119931787
BaseRepresentation
bin10011100010010000…
…11010110101100000
31000001220221221002220
421301020122311200
5132434404421242
64452413311040
7520621151322
oct116110326540
930056857086
1010487967072
1144a2202990
122048495480
13cb1b1b59b
14716ca5612
15415b4abec
hex27121ad60

10487967072 has 48 divisors (see below), whose sum is σ = 30033726912. Its totient is φ = 3178171520.

The previous prime is 10487967037. The next prime is 10487967121. The reversal of 10487967072 is 27076978401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4964838 + ... + 4966949.

It is an arithmetic number, because the mean of its divisors is an integer number (625702644).

Almost surely, 210487967072 is an apocalyptic number.

10487967072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10487967072 is an abundant number, since it is smaller than the sum of its proper divisors (19545759840).

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

10487967072 is a wasteful number, since it uses less digits than its factorization.

10487967072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9931811 (or 9931803 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 10487967072 in words is "ten billion, four hundred eighty-seven million, nine hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 9931787 19863574 29795361 39727148 59590722 79454296 109249657 119181444 158908592 218499314 238362888 317817184 327748971 436998628 476725776 655497942 873997256 953451552 1310995884 1747994512 2621991768 3495989024 5243983536 10487967072