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4145227648 = 27714391039
BaseRepresentation
bin1111011100010011…
…0010011110000000
3101200212222101022221
43313010302132000
531442134241043
61523154340424
7204502565542
oct36704623600
911625871287
104145227648
111837966981
1297828a714
13510a3c333
142b4759692
15193db08ed
hexf7132780

4145227648 has 64 divisors (see below), whose sum is σ = 8401536000. Its totient is φ = 2036805120.

The previous prime is 4145227631. The next prime is 4145227721. The reversal of 4145227648 is 8467225414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×41452276482 = 34365824507487223808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3989113 + ... + 3990151.

It is an arithmetic number, because the mean of its divisors is an integer number (131274000).

Almost surely, 24145227648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200768000).

4145227648 is an abundant number, since it is smaller than the sum of its proper divisors (4256308352).

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

4145227648 is a wasteful number, since it uses less digits than its factorization.

4145227648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1551 counting only the distinct ones).

The product of its digits is 430080, while the sum is 43.

The square root of 4145227648 is about 64383.4423435094. The cubic root of 4145227648 is about 1606.3843412335.

The spelling of 4145227648 in words is "four billion, one hundred forty-five million, two hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 439 568 878 1039 1136 1756 2078 2272 3512 4156 4544 7024 8312 9088 14048 16624 28096 31169 33248 56192 62338 66496 73769 124676 132992 147538 249352 295076 456121 498704 590152 912242 997408 1180304 1824484 1994816 2360608 3648968 3989632 4721216 7297936 9442432 14595872 29191744 32384591 58383488 64769182 129538364 259076728 518153456 1036306912 2072613824 4145227648