Search a number
-
+
1359104076000 = 2533531147101241
BaseRepresentation
bin10011110001110000111…
…010100110100011100000
311210221002022002121022000
4103301300322212203200
5134231421120413000
62520210325044000
7200122603014636
oct23616072464340
94727068077260
101359104076000
114844359012a0
1219b4a1256600
139b217057288
1449ad1063356
1525547ba4000
hex13c70ea68e0

1359104076000 has 1536 divisors, whose sum is σ = 5589373870080. Its totient is φ = 317952000000.

The previous prime is 1359104075969. The next prime is 1359104076007. The reversal of 1359104076000 is 6704019531.

1359104076000 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 1 + 0 + 40 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359104076007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5639435880 + ... + 5639436120.

It is an arithmetic number, because the mean of its divisors is an integer number (3638915280).

Almost surely, 21359104076000 is an apocalyptic number.

1359104076000 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 1359104076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794686935040).

1359104076000 is an abundant number, since it is smaller than the sum of its proper divisors (4230269794080).

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

1359104076000 is a wasteful number, since it uses less digits than its factorization.

1359104076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1359104076000 in words is "one trillion, three hundred fifty-nine billion, one hundred four million, seventy-six thousand".