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12481781416 = 23131913194789
BaseRepresentation
bin10111001111111100…
…01101111010101000
31012012212200012012121
423213332031322220
5201030314001131
65422315521024
7621211251166
oct134776157250
935185605177
1012481781416
115325705135
122504159174
13123bc0b2a0
148659d0236
154d0bda911
hex2e7f8dea8

12481781416 has 64 divisors (see below), whose sum is σ = 26555760000. Its totient is φ = 5452344576.

The previous prime is 12481781401. The next prime is 12481781419. The reversal of 12481781416 is 61418718421.

It is not an unprimeable number, because it can be changed into a prime (12481781419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603950 + ... + 2608738.

It is an arithmetic number, because the mean of its divisors is an integer number (414933750).

Almost surely, 212481781416 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 12481781416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277880000).

12481781416 is an abundant number, since it is smaller than the sum of its proper divisors (14073978584).

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

12481781416 is a wasteful number, since it uses less digits than its factorization.

12481781416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6142 counting only the distinct ones).

The product of its digits is 86016, while the sum is 43.

The spelling of 12481781416 in words is "twelve billion, four hundred eighty-one million, seven hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1319 1976 2638 4789 5276 9578 10552 17147 19156 25061 34294 38312 50122 62257 68588 90991 100244 124514 137176 181982 200488 249028 325793 363964 498056 651586 727928 1182883 1303172 2365766 2606344 4731532 6316691 9463064 12633382 25266764 50533528 82116983 120017129 164233966 240034258 328467932 480068516 656935864 960137032 1560222677 3120445354 6240890708 12481781416