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4106163136 = 261723164089
BaseRepresentation
bin1111010010111111…
…0001001111000000
3101121011110200220011
43310233301033000
531402134210021
61515241154304
7203516545045
oct36457611700
911534420804
104106163136
111817905159
1296718b994
1350591253a
142ad4ab1cc
15190745de1
hexf4bf13c0

4106163136 has 56 divisors (see below), whose sum is σ = 9002633760. Its totient is φ = 1848287232.

The previous prime is 4106163121. The next prime is 4106163197. The reversal of 4106163136 is 6313616014.

It is a junction number, because it is equal to n+sod(n) for n = 4106163098 and 4106163107.

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, 57021 + ... + 107068.

Almost surely, 24106163136 is an apocalyptic number.

4106163136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4106163136 is an abundant number, since it is smaller than the sum of its proper divisors (4896470624).

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

4106163136 is a wasteful number, since it uses less digits than its factorization.

4106163136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164141 (or 164131 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 4106163136 is about 64079.3503088163. The cubic root of 4106163136 is about 1601.3222320131.

The spelling of 4106163136 in words is "four billion, one hundred six million, one hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 272 368 391 544 736 782 1088 1472 1564 3128 6256 12512 25024 164089 328178 656356 1312712 2625424 2789513 3774047 5250848 5579026 7548094 10501696 11158052 15096188 22316104 30192376 44632208 60384752 64158799 89264416 120769504 128317598 178528832 241539008 256635196 513270392 1026540784 2053081568 4106163136