Search a number
-
+
1379423977920 = 2633511313710313
BaseRepresentation
bin10100000100101100000…
…100111000000111000000
311212212112102120120111000
4110010230010320013000
5140100030014243140
62533410523052000
7201442261231332
oct24045404700700
94785472516430
101379423977920
1149201296836a
121a3412371000
13a0104aaa591
144aa9ba1d452
1525d36a60a30
hex1412c1381c0

1379423977920 has 448 divisors, whose sum is σ = 4945680167040. Its totient is φ = 361894772736.

The previous prime is 1379423977913. The next prime is 1379423977931. The reversal of 1379423977920 is 297793249731.

1379423977920 is a `hidden beast` number, since 1 + 37 + 9 + 423 + 97 + 7 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 133750684 + ... + 133760996.

Almost surely, 21379423977920 is an apocalyptic number.

1379423977920 is a gapful number since it is divisible by the number (10) 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 1379423977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472840083520).

1379423977920 is an abundant number, since it is smaller than the sum of its proper divisors (3566256189120).

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

1379423977920 is a wasteful number, since it uses less digits than its factorization.

1379423977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10589 (or 10573 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 1379423977920 in words is "one trillion, three hundred seventy-nine billion, four hundred twenty-three million, nine hundred seventy-seven thousand, nine hundred twenty".