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6094906496 = 27741251661
BaseRepresentation
bin1011010110100100…
…01110010010000000
3120201202122022220122
411223102032102000
544440244001441
62444442555412
7304015564460
oct55322162200
916652568818
106094906496
112648463508
121221208b68
13761948063
1441b675ba0
1525a13334b
hex16b48e480

6094906496 has 128 divisors (see below), whose sum is σ = 14293480320. Its totient is φ = 2534400000.

The previous prime is 6094906483. The next prime is 6094906513. The reversal of 6094906496 is 6946094906.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9220406 + ... + 9221066.

It is an arithmetic number, because the mean of its divisors is an integer number (111667815).

Almost surely, 26094906496 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 6094906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146740160).

6094906496 is an abundant number, since it is smaller than the sum of its proper divisors (8198573824).

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

6094906496 is a wasteful number, since it uses less digits than its factorization.

6094906496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 53.

The square root of 6094906496 is about 78069.8821313315. The cubic root of 6094906496 is about 1826.6514352777.

The spelling of 6094906496 in words is "six billion, ninety-four million, nine hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 251 287 328 448 502 574 656 661 896 1004 1148 1312 1322 1757 2008 2296 2624 2644 3514 4016 4592 4627 5248 5288 7028 8032 9184 9254 10291 10576 14056 16064 18368 18508 20582 21152 27101 28112 32128 36736 37016 41164 42304 54202 56224 72037 74032 82328 84608 108404 112448 144074 148064 164656 165911 189707 216808 224896 288148 296128 329312 331822 379414 433616 576296 592256 658624 663644 758828 867232 1152592 1161377 1317248 1327288 1517656 1734464 2305184 2322754 2654576 3035312 3468928 4610368 4645508 5309152 6070624 6802351 9220736 9291016 10618304 12141248 13604702 18582032 21236608 24282496 27209404 37164064 47616457 54418808 74328128 95232914 108837616 148656256 190465828 217675232 380931656 435350464 761863312 870700928 1523726624 3047453248 6094906496