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3730656096 = 25334317889
BaseRepresentation
bin1101111001011101…
…0100101101100000
3100121222212222002000
43132113110231200
530120021443341
61414104524000
7161310024246
oct33627245540
910558788060
103730656096
111644949162
12881480600
13475b9841b
14275680796
1516c7be8b6
hexde5d4b60

3730656096 has 48 divisors (see below), whose sum is σ = 10881082800. Its totient is φ = 1243551744.

The previous prime is 3730656079. The next prime is 3730656109. The reversal of 3730656096 is 6906560373.

3730656096 is a `hidden beast` number, since 3 + 7 + 30 + 6 + 5 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×37306560962 = 27835589813243922432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 2158081 + ... + 2159808.

It is an arithmetic number, because the mean of its divisors is an integer number (226689225).

Almost surely, 23730656096 is an apocalyptic number.

3730656096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3730656096 is an abundant number, since it is smaller than the sum of its proper divisors (7150426704).

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

3730656096 is a wasteful number, since it uses less digits than its factorization.

3730656096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317908 (or 4317894 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 3730656096 is about 61079.0970463709. The cubic root of 3730656096 is about 1550.9402683430.

The spelling of 3730656096 in words is "three billion, seven hundred thirty million, six hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4317889 8635778 12953667 17271556 25907334 34543112 38861001 51814668 69086224 77722002 103629336 116583003 138172448 155444004 207258672 233166006 310888008 414517344 466332012 621776016 932664024 1243552032 1865328048 3730656096