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1366642048 = 2761383457
BaseRepresentation
bin101000101110101…
…0100110110000000
310112020120121110011
41101131110312000
510244330021143
6343335514304
745603160102
oct12135246600
93466517404
101366642048
11641485442
12321828994
1318a19c245
14cd70b572
157eea5e9d
hex51754d80

1366642048 has 64 divisors (see below), whose sum is σ = 2780536320. Its totient is φ = 668897280.

The previous prime is 1366642031. The next prime is 1366642049. The reversal of 1366642048 is 8402466631.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1366642048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366642049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2990236 + ... + 2990692.

It is an arithmetic number, because the mean of its divisors is an integer number (43445880).

Almost surely, 21366642048 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 1366642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390268160).

1366642048 is an abundant number, since it is smaller than the sum of its proper divisors (1413894272).

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

1366642048 is an equidigital number, since it uses as much as digits as its factorization.

1366642048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 1366642048 is about 36968.1220513025. The cubic root of 1366642048 is about 1109.7323836078.

The spelling of 1366642048 in words is "one billion, three hundred sixty-six million, six hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 383 457 488 766 914 976 1532 1828 1952 3064 3656 3904 6128 7312 7808 12256 14624 23363 24512 27877 29248 46726 49024 55754 58496 93452 111508 175031 186904 223016 350062 373808 446032 700124 747616 892064 1400248 1495232 1784128 2800496 2990464 3568256 5600992 10676891 11201984 21353782 22403968 42707564 85415128 170830256 341660512 683321024 1366642048