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4016654464 = 27172816569
BaseRepresentation
bin1110111101101001…
…0100100010000000
3101100221001012002011
43233122110202000
531211230420324
61502322502304
7201351666604
oct35732244200
911327035064
104016654464
111781329a49
12941204994
134c0203124
142a164b504
15187964c94
hexef694880

4016654464 has 64 divisors (see below), whose sum is σ = 8504076600. Its totient is φ = 1883176960.

The previous prime is 4016654393. The next prime is 4016654471. The reversal of 4016654464 is 4644566104.

It can be written as a sum of positive squares in 4 ways, for example, as 3993228864 + 23425600 = 63192^2 + 4840^2 .

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

It is a super-2 number, since 2×40166544642 = 32267026166342254592, which contains 22 as substring.

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, 608172 + ... + 614740.

Almost surely, 24016654464 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 4016654464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252038300).

4016654464 is an abundant number, since it is smaller than the sum of its proper divisors (4487422136).

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

4016654464 is a wasteful number, since it uses less digits than its factorization.

4016654464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6881 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 4016654464 is about 63377.0815358360. The cubic root of 4016654464 is about 1589.6011108601.

The spelling of 4016654464 in words is "four billion, sixteen million, six hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 281 544 562 1088 1124 2176 2248 4496 4777 6569 8992 9554 13138 17984 19108 26276 35968 38216 52552 76432 105104 111673 152864 210208 223346 305728 420416 446692 611456 840832 893384 1786768 1845889 3573536 3691778 7147072 7383556 14294144 14767112 29534224 31380113 59068448 62760226 118136896 125520452 236273792 251040904 502081808 1004163616 2008327232 4016654464