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12480528920 = 2351749936781
BaseRepresentation
bin10111001111110010…
…11100001000011000
31012012210022120002212
423213321130020120
5201030003411140
65422233014252
7621164513456
oct134771341030
935183276085
1012480528920
115324a2a112
122503854388
13123b890172
148657859d6
154d0a3e765
hex2e7e5c218

12480528920 has 64 divisors (see below), whose sum is σ = 29793420000. Its totient is φ = 4689008640.

The previous prime is 12480528913. The next prime is 12480528961. The reversal of 12480528920 is 2982508421.

It is a happy number.

12480528920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 320930 + ... + 357710.

Almost surely, 212480528920 is an apocalyptic number.

12480528920 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 12480528920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14896710000).

12480528920 is an abundant number, since it is smaller than the sum of its proper divisors (17312891080).

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

12480528920 is a wasteful number, since it uses less digits than its factorization.

12480528920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37308 (or 37304 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 12480528920 in words is "twelve billion, four hundred eighty million, five hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 499 680 998 1996 2495 3992 4990 8483 9980 16966 19960 33932 36781 42415 67864 73562 84830 147124 169660 183905 294248 339320 367810 625277 735620 1250554 1471240 2501108 3126385 5002216 6252770 12505540 18353719 25011080 36707438 73414876 91768595 146829752 183537190 312013223 367074380 624026446 734148760 1248052892 1560066115 2496105784 3120132230 6240264460 12480528920