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6145044352 = 27611276197
BaseRepresentation
bin1011011100100010…
…11110111110000000
3120212020222121010021
411232101132332000
5100041112404402
62453433343224
7305165005126
oct55621367600
916766877107
106145044352
112673798857
121235b67b14
1376c151125
144241a7916
1525e738d37
hex16e45ef80

6145044352 has 64 divisors (see below), whose sum is σ = 12542768640. Its totient is φ = 2997872640.

The previous prime is 6145044341. The next prime is 6145044359. The reversal of 6145044352 is 2534405416.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145044359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 988518 + ... + 994714.

It is an arithmetic number, because the mean of its divisors is an integer number (195980760).

Almost surely, 26145044352 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 6145044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271384320).

6145044352 is an abundant number, since it is smaller than the sum of its proper divisors (6397724288).

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

6145044352 is a wasteful number, since it uses less digits than its factorization.

6145044352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 6145044352 is about 78390.3332815979. Note that the first 3 decimals coincide. The cubic root of 6145044352 is about 1831.6465569117.

Adding to 6145044352 its reverse (2534405416), we get a palindrome (8679449768).

The spelling of 6145044352 in words is "six billion, one hundred forty-five million, forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 64 122 127 128 244 254 488 508 976 1016 1952 2032 3904 4064 6197 7747 7808 8128 12394 15494 16256 24788 30988 49576 61976 99152 123952 198304 247904 378017 396608 495808 756034 787019 793216 991616 1512068 1574038 3024136 3148076 6048272 6296152 12096544 12592304 24193088 25184608 48008159 48386176 50369216 96016318 100738432 192032636 384065272 768130544 1536261088 3072522176 6145044352