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4064640102 = 2374321611
BaseRepresentation
bin1111001001000101…
…0111110001100110
3101111021100010000000
43302101113301212
531311021440402
61511155202130
7202503604455
oct36221276146
911437303000
104064640102
1117a64242a6
129552a6346
134ca1346b3
142a7b7cb9c
1518bc92c1c
hexf2457c66

4064640102 has 64 divisors (see below), whose sum is σ = 9357131520. Its totient is φ = 1323309960.

The previous prime is 4064640101. The next prime is 4064640121. The reversal of 4064640102 is 2010464604.

4064640102 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 640 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064640101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 177277 + ... + 198887.

It is an arithmetic number, because the mean of its divisors is an integer number (146205180).

Almost surely, 24064640102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4064640102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678565760).

4064640102 is an abundant number, since it is smaller than the sum of its proper divisors (5292491418).

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

4064640102 is an equidigital number, since it uses as much as digits as its factorization.

4064640102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21677 (or 21659 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4064640102 is about 63754.5300508129. The cubic root of 4064640102 is about 1595.9062144562.

The spelling of 4064640102 in words is "four billion, sixty-four million, six hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 729 774 1161 1458 2187 2322 3483 4374 6966 10449 20898 21611 31347 43222 62694 64833 94041 129666 188082 194499 388998 583497 929273 1166994 1750491 1858546 2787819 3500982 5251473 5575638 8363457 10502946 15754419 16726914 25090371 31508838 47263257 50180742 75271113 94526514 150542226 225813339 451626678 677440017 1354880034 2032320051 4064640102