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12460777104 = 24310910932179
BaseRepresentation
bin10111001101011100…
…00101111010010000
31012011102011001201010
423212232011322100
5201004424331404
65420245410520
7620534600136
oct134656057220
935142131633
1012460777104
1153148692a6
1224b9109a40
1312377659b9
14862cc3756
154cde3c189
hex2e6b85e90

12460777104 has 80 divisors (see below), whose sum is σ = 32530308800. Its totient is φ = 4109833728.

The previous prime is 12460777103. The next prime is 12460777123. The reversal of 12460777104 is 40177706421.

12460777104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12460777103) 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 15 ways as a sum of consecutive naturals, for example, 5717487 + ... + 5719665.

It is an arithmetic number, because the mean of its divisors is an integer number (406628860).

Almost surely, 212460777104 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 12460777104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265154400).

12460777104 is an abundant number, since it is smaller than the sum of its proper divisors (20069531696).

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

12460777104 is a wasteful number, since it uses less digits than its factorization.

12460777104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 12460777104 in words is "twelve billion, four hundred sixty million, seven hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1093 1308 1744 2179 2186 2616 3279 4358 4372 5232 6537 6558 8716 8744 13074 13116 17432 17488 26148 26232 34864 52296 52464 104592 119137 237511 238274 357411 475022 476548 712533 714822 950044 953096 1425066 1429644 1900088 1906192 2381647 2850132 2859288 3800176 4763294 5700264 5718576 7144941 9526588 11400528 14289882 19053176 28579764 38106352 57159528 114319056 259599523 519199046 778798569 1038398092 1557597138 2076796184 3115194276 4153592368 6230388552 12460777104