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3148128216 = 233243724003
BaseRepresentation
bin1011101110100100…
…1001111111011000
322010101202111001100
42323221021333120
522421410100331
61240215151400
7141004435242
oct27351117730
98111674040
103148128216
111376044362
1273a375560
133b22a947c
1421c165092
151365a3ae6
hexbba49fd8

3148128216 has 24 divisors (see below), whose sum is σ = 8526180780. Its totient is φ = 1049376048.

The previous prime is 3148128163. The next prime is 3148128227. The reversal of 3148128216 is 6128218413.

3148128216 is a `hidden beast` number, since 314 + 8 + 128 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×31481282162 = 19821422528750685312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21861930 + ... + 21862073.

Almost surely, 23148128216 is an apocalyptic number.

3148128216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3148128216 is an abundant number, since it is smaller than the sum of its proper divisors (5378052564).

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

3148128216 is a wasteful number, since it uses less digits than its factorization.

3148128216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43724015 (or 43724008 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3148128216 is about 56108.1831464894. The cubic root of 3148128216 is about 1465.6067975978.

The spelling of 3148128216 in words is "three billion, one hundred forty-eight million, one hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 43724003 87448006 131172009 174896012 262344018 349792024 393516027 524688036 787032054 1049376072 1574064108 3148128216