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4076113644 = 223337741793
BaseRepresentation
bin1111001011110100…
…1000111011101100
3101112001221000202000
43302331020323230
531321441114034
61512245132300
7203003252151
oct36275107354
911461830660
104076113644
111801950569
129590ba090
134cc620b85
142a94c8228
1518ccac599
hexf2f48eec

4076113644 has 24 divisors (see below), whose sum is σ = 10567702320. Its totient is φ = 1358704512.

The previous prime is 4076113637. The next prime is 4076113651. The reversal of 4076113644 is 4463116704.

4076113644 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 1 + 1 + 3 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (4076113637) and next prime (4076113651).

It is a super-2 number, since 2×40761136442 = 33229404877605917472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4076113599 and 4076113608.

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 7 ways as a sum of consecutive naturals, for example, 18870789 + ... + 18871004.

It is an arithmetic number, because the mean of its divisors is an integer number (440320930).

Almost surely, 24076113644 is an apocalyptic number.

It is an amenable number.

4076113644 is an abundant number, since it is smaller than the sum of its proper divisors (6491588676).

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

4076113644 is a wasteful number, since it uses less digits than its factorization.

4076113644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37741806 (or 37741798 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4076113644 is about 63844.4488111535. The cubic root of 4076113644 is about 1597.4064288688.

The spelling of 4076113644 in words is "four billion, seventy-six million, one hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 37741793 75483586 113225379 150967172 226450758 339676137 452901516 679352274 1019028411 1358704548 2038056822 4076113644