Search a number
-
+
6075390624 = 253678910613
BaseRepresentation
bin1011010100001111…
…10001101010100000
3120200101220211011120
411222013301222200
544420244444444
62442504412240
7303360653052
oct55207615240
916611824146
106075390624
112638443996
121216777080
1375a8a40c4
14418c358d2
1525857ab19
hex16a1f1aa0

6075390624 has 96 divisors (see below), whose sum is σ = 16369335360. Its totient is φ = 1972303872.

The previous prime is 6075390613. The next prime is 6075390697. The reversal of 6075390624 is 4260935706.

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

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, 567142 + ... + 577754.

It is an arithmetic number, because the mean of its divisors is an integer number (170513910).

Almost surely, 26075390624 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 6075390624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184667680).

6075390624 is an abundant number, since it is smaller than the sum of its proper divisors (10293944736).

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

6075390624 is a wasteful number, since it uses less digits than its factorization.

6075390624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10782 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 6075390624 is about 77944.7921544474. The cubic root of 6075390624 is about 1824.6997065428.

The spelling of 6075390624 in words is "six billion, seventy-five million, three hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 89 96 134 178 201 267 268 356 402 534 536 712 804 1068 1072 1424 1608 2136 2144 2848 3216 4272 5963 6432 8544 10613 11926 17889 21226 23852 31839 35778 42452 47704 63678 71556 84904 95408 127356 143112 169808 190816 254712 286224 339616 509424 572448 711071 944557 1018848 1422142 1889114 2133213 2833671 2844284 3778228 4266426 5667342 5688568 7556456 8532852 11334684 11377136 15112912 17065704 22669368 22754272 30225824 34131408 45338736 63285319 68262816 90677472 126570638 189855957 253141276 379711914 506282552 759423828 1012565104 1518847656 2025130208 3037695312 6075390624