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4064411604 = 22311231578527
BaseRepresentation
bin1111001001000001…
…1111111111010100
3101111020220111120010
43302100133333110
531310442132404
61511150240220
7202501633341
oct36220377724
911436814503
104064411604
1117a6288660
129551b6070
134ca0846a6
142a7b1d7c8
1518bc4a189
hexf241ffd4

4064411604 has 96 divisors (see below), whose sum is σ = 10865627136. Its totient is φ = 1170449280.

The previous prime is 4064411587. The next prime is 4064411677. The reversal of 4064411604 is 4061144604.

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 31 ways as a sum of consecutive naturals, for example, 472389 + ... + 480915.

It is an arithmetic number, because the mean of its divisors is an integer number (113183616).

Almost surely, 24064411604 is an apocalyptic number.

4064411604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4064411604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432813568).

4064411604 is an abundant number, since it is smaller than the sum of its proper divisors (6801215532).

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

4064411604 is a wasteful number, since it uses less digits than its factorization.

4064411604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725 (or 8723 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4064411604 is about 63752.7380117905. The cubic root of 4064411604 is about 1595.8763087161.

The spelling of 4064411604 in words is "four billion, sixty-four million, four hundred eleven thousand, six hundred four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 157 253 276 314 471 506 628 759 942 1012 1518 1727 1884 3036 3454 3611 5181 6908 7222 8527 10362 10833 14444 17054 20724 21666 25581 34108 39721 43332 51162 79442 93797 102324 119163 158884 187594 196121 238326 281391 375188 392242 476652 562782 588363 784484 1125564 1176726 1338739 2157331 2353452 2677478 4016217 4314662 5354956 6471993 8032434 8629324 12943986 14726129 16064868 25887972 29452258 30790997 44178387 58904516 61581994 88356774 92372991 123163988 176713548 184745982 338700967 369491964 677401934 1016102901 1354803868 2032205802 4064411604