Search a number
-
+
6072396064 = 257311495869
BaseRepresentation
bin1011010011111000…
…10110100100100000
3120200012021200101221
411221330112210200
544414013133224
62442320304424
7303323341420
oct55174264440
916605250357
106072396064
112636789049
121215772114
1375a096087
14418696480
152581886e4
hex169f16920

6072396064 has 96 divisors (see below), whose sum is σ = 14200704000. Its totient is φ = 2501176320.

The previous prime is 6072396023. The next prime is 6072396079. The reversal of 6072396064 is 4606932706.

It is a self number, because there is not a number n which added to its sum of digits gives 6072396064.

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, 1031722 + ... + 1037590.

It is an arithmetic number, because the mean of its divisors is an integer number (147924000).

Almost surely, 26072396064 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 6072396064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100352000).

6072396064 is an abundant number, since it is smaller than the sum of its proper divisors (8128307936).

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

6072396064 is a wasteful number, since it uses less digits than its factorization.

6072396064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 6072396064 is about 77925.5802929949. The cubic root of 6072396064 is about 1824.3998591146.

The spelling of 6072396064 in words is "six billion, seventy-two million, three hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 149 217 224 248 298 434 496 596 868 992 1043 1192 1736 2086 2384 3472 4172 4619 4768 5869 6944 8344 9238 11738 16688 18476 23476 32333 33376 36952 41083 46952 64666 73904 82166 93904 129332 147808 164332 181939 187808 258664 328664 363878 517328 657328 727756 874481 1034656 1273573 1314656 1455512 1748962 2547146 2911024 3497924 5094292 5822048 6121367 6995848 10188584 12242734 13991696 20377168 24485468 27108911 27983392 40754336 48970936 54217822 97941872 108435644 189762377 195883744 216871288 379524754 433742576 759049508 867485152 1518099016 3036198032 6072396064