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6148228416 = 263112911093
BaseRepresentation
bin1011011100111011…
…01000010101000000
3120212110222100211120
411232131220111000
5100042421302131
62454025512240
7305234036121
oct55635502500
916773870746
106148228416
112675573010
121237042680
1376c9c74a5
14424796048
1525eb67496
hex16e768540

6148228416 has 56 divisors (see below), whose sum is σ = 17746029024. Its totient is φ = 1863098880.

The previous prime is 6148228397. The next prime is 6148228421.

6148228416 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1453435 + ... + 1457658.

Almost surely, 26148228416 is an apocalyptic number.

6148228416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6148228416 is an abundant number, since it is smaller than the sum of its proper divisors (11597800608).

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

6148228416 is a wasteful number, since it uses less digits than its factorization.

6148228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911119 (or 2911109 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 6148228416 is about 78410.6396862059. The cubic root of 6148228416 is about 1831.9628590959.

It can be divided in two parts, 61482 and 28416, that added together give a palindrome (89898).

The spelling of 6148228416 in words is "six billion, one hundred forty-eight million, two hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2911093 5822186 8733279 11644372 17466558 23288744 32022023 34933116 46577488 64044046 69866232 93154976 96066069 128088092 139732464 186309952 192132138 256176184 279464928 384264276 512352368 558929856 768528552 1024704736 1537057104 2049409472 3074114208 6148228416