Search a number
-
+
12463078368 = 2531397102953
BaseRepresentation
bin10111001101101101…
…10111101111100000
31012011120110222110010
423212312313233200
5201011022001433
65420411004520
7620563263306
oct134666675740
935146428403
1012463078368
1153160a0274
1224b9a39740
1312380902b0
14863322276
154ce243e63
hex2e6db7be0

12463078368 has 96 divisors (see below), whose sum is σ = 35595727776. Its totient is φ = 3795222528.

The previous prime is 12463078357. The next prime is 12463078387. The reversal of 12463078368 is 86387036421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69580 + ... + 172532.

It is an arithmetic number, because the mean of its divisors is an integer number (370788831).

Almost surely, 212463078368 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 12463078368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17797863888).

12463078368 is an abundant number, since it is smaller than the sum of its proper divisors (23132649408).

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

12463078368 is a wasteful number, since it uses less digits than its factorization.

12463078368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103076 (or 103068 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 12463078368 in words is "twelve billion, four hundred sixty-three million, seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 97 104 156 194 208 291 312 388 416 582 624 776 1164 1248 1261 1552 2328 2522 3104 3783 4656 5044 7566 9312 10088 15132 20176 30264 40352 60528 102953 121056 205906 308859 411812 617718 823624 1235436 1338389 1647248 2470872 2676778 3294496 4015167 4941744 5353556 8030334 9883488 9986441 10707112 16060668 19972882 21414224 29959323 32121336 39945764 42828448 59918646 64242672 79891528 119837292 128485344 129823733 159783056 239674584 259647466 319566112 389471199 479349168 519294932 778942398 958698336 1038589864 1557884796 2077179728 3115769592 4154359456 6231539184 12463078368