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4040027664 = 243257327499
BaseRepresentation
bin1111000011001101…
…1110111000010000
3101102120000200002020
43300303132320100
531233221341124
61504515451440
7202054445211
oct36063367020
911376020066
104040027664
111793543642
12948bb6b80
134c4cc7a1a
142a47b3408
15189a30379
hexf0cdee10

4040027664 has 40 divisors (see below), whose sum is σ = 10477380000. Its totient is φ = 1341431808.

The previous prime is 4040027659. The next prime is 4040027683. The reversal of 4040027664 is 4667200404.

4040027664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 151414 + ... + 176085.

It is an arithmetic number, because the mean of its divisors is an integer number (261934500).

Almost surely, 24040027664 is an apocalyptic number.

It is an amenable number.

4040027664 is an abundant number, since it is smaller than the sum of its proper divisors (6437352336).

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

4040027664 is a wasteful number, since it uses less digits than its factorization.

4040027664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327767 (or 327761 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 4040027664 is about 63561.2119456513. The cubic root of 4040027664 is about 1592.6784836430.

The spelling of 4040027664 in words is "four billion, forty million, twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 257 514 771 1028 1542 2056 3084 4112 6168 12336 327499 654998 982497 1309996 1964994 2619992 3929988 5239984 7859976 15719952 84167243 168334486 252501729 336668972 505003458 673337944 1010006916 1346675888 2020013832 4040027664