Search a number
-
+
12135003648 = 29317227337
BaseRepresentation
bin10110100110100110…
…10111011000000000
31011022201011001112120
423103103113120000
5144323030104043
65324051124240
7606500554245
oct132323273000
934281131476
1012135003648
115167990939
122427ba3680
1311b5112941
148319215cc
154b053b983
hex2d34d7600

12135003648 has 120 divisors (see below), whose sum is σ = 34343198472. Its totient is φ = 3806920704.

The previous prime is 12135003637. The next prime is 12135003667. The reversal of 12135003648 is 84630053121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430236 + ... + 457572.

Almost surely, 212135003648 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 12135003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171599236).

12135003648 is an abundant number, since it is smaller than the sum of its proper divisors (22208194824).

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

12135003648 is an equidigital number, since it uses as much as digits as its factorization.

12135003648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27392 (or 27359 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 12135003648 its reverse (84630053121), we get a palindrome (96765056769).

The spelling of 12135003648 in words is "twelve billion, one hundred thirty-five million, three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 512 544 578 768 816 867 1088 1156 1536 1632 1734 2176 2312 3264 3468 4352 4624 6528 6936 8704 9248 13056 13872 18496 26112 27337 27744 36992 54674 55488 73984 82011 109348 110976 147968 164022 218696 221952 328044 437392 443904 464729 656088 874784 929458 1312176 1394187 1749568 1858916 2624352 2788374 3499136 3717832 5248704 5576748 6998272 7435664 7900393 10497408 11153496 13996544 14871328 15800786 20994816 22306992 23701179 29742656 31601572 41989632 44613984 47402358 59485312 63203144 89227968 94804716 118970624 126406288 178455936 189609432 237941248 252812576 356911872 379218864 505625152 713823744 758437728 1011250304 1516875456 2022500608 3033750912 4045001216 6067501824 12135003648