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6075754144 = 254311293911
BaseRepresentation
bin1011010100010010…
…01010011010100000
3120200102121021211021
411222021022122200
544420343113034
62442520255224
7303364025635
oct55211123240
916612537737
106075754144
112638672019
121216911514
1375a9a06c5
14418ccc18c
152585ed6b4
hex16a24a6a0

6075754144 has 48 divisors (see below), whose sum is σ = 12253792320. Its totient is φ = 2963842560.

The previous prime is 6075754133. The next prime is 6075754169. The reversal of 6075754144 is 4414575706.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 6075754144.

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 7 ways as a sum of consecutive naturals, for example, 1551549 + ... + 1555459.

It is an arithmetic number, because the mean of its divisors is an integer number (255287340).

Almost surely, 26075754144 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 6075754144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126896160).

6075754144 is an abundant number, since it is smaller than the sum of its proper divisors (6178038176).

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

6075754144 is a wasteful number, since it uses less digits than its factorization.

6075754144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The square root of 6075754144 is about 77947.1240264835. The cubic root of 6075754144 is about 1824.7360993527.

The spelling of 6075754144 in words is "six billion, seventy-five million, seven hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1129 1376 2258 3911 4516 7822 9032 15644 18064 31288 36128 48547 62576 97094 125152 168173 194188 336346 388376 672692 776752 1345384 1553504 2690768 4415519 5381536 8831038 17662076 35324152 70648304 141296608 189867317 379734634 759469268 1518938536 3037877072 6075754144