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9987663060 = 22325232412479
BaseRepresentation
bin10010100110100111…
…11010010011010100
3221210001112212000200
421103103322103110
5130423320204220
64331022140500
7502334510124
oct112323722324
927701485020
109987663060
1142658590a1
121b28a21730
13c3228accb
146aa670c84
153d6c72890
hex2534fa4d4

9987663060 has 72 divisors (see below), whose sum is σ = 31613137920. Its totient is φ = 2547576768.

The previous prime is 9987663029. The next prime is 9987663061. The reversal of 9987663060 is 603667899.

It is a happy number.

9987663060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9987662988 and 9987663006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9987663061) 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 23 ways as a sum of consecutive naturals, for example, 1202100 + ... + 1210379.

It is an arithmetic number, because the mean of its divisors is an integer number (439071360).

Almost surely, 29987663060 is an apocalyptic number.

9987663060 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9987663060 is an abundant number, since it is smaller than the sum of its proper divisors (21625474860).

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

9987663060 is a wasteful number, since it uses less digits than its factorization.

9987663060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412517 (or 2412512 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9987663060 is about 99938.2962632444. The cubic root of 9987663060 is about 2153.5483543927.

The spelling of 9987663060 in words is "nine billion, nine hundred eighty-seven million, six hundred sixty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 2412479 4824958 7237437 9649916 12062395 14474874 21712311 24124790 28949748 36187185 43424622 48249580 55487017 72374370 86849244 108561555 110974034 144748740 166461051 217123110 221948068 277435085 332922102 434246220 499383153 554870170 665844204 832305255 998766306 1109740340 1664610510 1997532612 2496915765 3329221020 4993831530 9987663060