Search a number
-
+
30464134576 = 2419535973439
BaseRepresentation
bin11100010111110011…
…011100110110110000
32220122002122101022121
4130113303130312300
5444342304301301
621554532044024
72125633604611
oct342763346660
986562571277
1030464134576
1111a13234227
125aa2463614
132b465a0545
14168dd45c08
15bd475a3a1
hex717cdcdb0

30464134576 has 160 divisors (see below), whose sum is σ = 65406528000. Its totient is φ = 13696210944.

The previous prime is 30464134549. The next prime is 30464134579. The reversal of 30464134576 is 67543146403.

It is not an unprimeable number, because it can be changed into a prime (30464134579) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69394165 + ... + 69394603.

It is an arithmetic number, because the mean of its divisors is an integer number (408790800).

Almost surely, 230464134576 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 30464134576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32703264000).

30464134576 is an abundant number, since it is smaller than the sum of its proper divisors (34942393424).

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

30464134576 is a wasteful number, since it uses less digits than its factorization.

30464134576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 30464134576 in words is "thirty billion, four hundred sixty-four million, one hundred thirty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 53 59 73 76 106 118 146 152 212 236 292 304 424 439 472 584 848 878 944 1007 1121 1168 1387 1756 2014 2242 2774 3127 3512 3869 4028 4307 4484 5548 6254 7024 7738 8056 8341 8614 8968 11096 12508 15476 16112 16682 17228 17936 22192 23267 25016 25901 30952 32047 33364 34456 46534 50032 51802 59413 61904 64094 66728 68912 73511 81833 93068 103604 118826 128188 133456 147022 163666 186136 207208 228271 237652 256376 294044 327332 372272 414416 442073 456542 475304 492119 512752 588088 608893 654664 884146 913084 950608 984238 1176176 1217786 1309328 1372753 1698491 1768292 1826168 1890773 1968476 2435572 2745506 3396982 3536584 3652336 3781546 3936952 4337149 4871144 5491012 6793964 7073168 7563092 7873904 8674298 9742288 10982024 13587928 15126184 17348596 21964048 26082307 27175856 30252368 32271329 34697192 35924687 52164614 64542658 69394384 71849374 100210969 104329228 129085316 143698748 200421938 208658456 258170632 287397496 400843876 417316912 516341264 574794992 801687752 1603375504 1904008411 3808016822 7616033644 15232067288 30464134576