Search a number
-
+
12418780048 = 243123783263
BaseRepresentation
bin10111001000011011…
…11000101110010000
31012001111010101120121
423210031320232100
5200413201430143
65412145320024
7616514613553
oct134415705620
935044111517
1012418780048
1152a3094294
1224a7036014
13122bb5017c
1485b4b069a
154ca3e37ed
hex2e4378b90

12418780048 has 120 divisors (see below), whose sum is σ = 25940464704. Its totient is φ = 5754274560.

The previous prime is 12418780027. The next prime is 12418780069. The reversal of 12418780048 is 84008781421.

It is an interprime number because it is at equal distance from previous prime (12418780027) and next prime (12418780069).

It is a junction number, because it is equal to n+sod(n) for n = 12418779986 and 12418780013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47219565 + ... + 47219827.

Almost surely, 212418780048 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 12418780048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970232352).

12418780048 is an abundant number, since it is smaller than the sum of its proper divisors (13521684656).

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

12418780048 is a wasteful number, since it uses less digits than its factorization.

12418780048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 43.

The spelling of 12418780048 in words is "twelve billion, four hundred eighteen million, seven hundred eighty thousand, forty-eight".

Divisors: 1 2 4 8 16 31 37 62 74 83 124 148 166 248 263 296 332 496 526 592 664 961 1052 1147 1328 1922 2104 2294 2573 3071 3844 4208 4588 5146 6142 7688 8153 9176 9731 10292 12284 15376 16306 18352 19462 20584 21829 24568 32612 35557 38924 41168 43658 49136 65224 71114 77848 79763 87316 95201 130448 142228 155696 159526 174632 190402 252743 284456 301661 319052 349264 380804 505486 568912 603322 638104 676699 761608 807673 1010972 1206644 1276208 1353398 1523216 1615346 2021944 2413288 2706796 2951231 3230692 4043888 4826576 5413592 5902462 6461384 9351491 10827184 11804924 12922768 18702982 20977669 23609848 25037863 37405964 41955338 47219696 50075726 74811928 83910676 100151452 149623856 167821352 200302904 335642704 400605808 776173753 1552347506 3104695012 6209390024 12418780048