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1468000001352 = 2331768311234691
BaseRepresentation
bin10101010111001011100…
…111100101110101001000
312012100011102222202222110
4111113023213211311020
5143022431000020402
63042220114422320
7211026260061603
oct25271347456510
95170142882873
101468000001352
11516636803815
121b86122919a0
13a857c8a7971
14510a176733a
15282bcdad56c
hex155cb9e5d48

1468000001352 has 128 divisors (see below), whose sum is σ = 3895867445760. Its totient is φ = 459367265280.

The previous prime is 1468000001341. The next prime is 1468000001407. The reversal of 1468000001352 is 2531000008641.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312937327 + ... + 312942017.

It is an arithmetic number, because the mean of its divisors is an integer number (30436464420).

Almost surely, 21468000001352 is an apocalyptic number.

1468000001352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468000001352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947933722880).

1468000001352 is an abundant number, since it is smaller than the sum of its proper divisors (2427867444408).

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

1468000001352 is a wasteful number, since it uses less digits than its factorization.

1468000001352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1468000001352 its reverse (2531000008641), we get a palindrome (3999000009993).

The spelling of 1468000001352 in words is "one trillion, four hundred sixty-eight billion, one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 683 1123 1366 2049 2246 2732 3369 4098 4492 4691 5464 6738 8196 8984 9382 11611 13476 14073 16392 18764 19091 23222 26952 28146 34833 37528 38182 46444 56292 57273 69666 76364 79747 92888 112584 114546 139332 152728 159494 229092 239241 278664 318988 458184 478482 637976 767009 956964 1534018 1913928 2301027 3068036 3203953 4602054 5267993 6136072 6407906 9204108 9611859 10535986 12815812 13039153 15803979 18408216 19223718 21071972 25631624 26078306 31607958 38447436 39117459 42143944 52156612 54467201 63215916 76894872 78234918 89555881 104313224 108934402 126431832 156469836 163401603 179111762 217868804 268667643 312939672 326803206 358223524 435737608 537335286 653606412 716447048 1074670572 1307212824 2149341144 3598039219 7196078438 10794117657 14392156876 21588235314 28784313752 43176470628 61166666723 86352941256 122333333446 183500000169 244666666892 367000000338 489333333784 734000000676 1468000001352