Search a number
-
+
1358191800000 = 263455722959
BaseRepresentation
bin10011110000111010100…
…010100010111011000000
311210211201201111011220000
4103300322202202323000
5134223034100100000
62515540015520000
7200061154550100
oct23607242427300
94724651434800
101358191800000
11484007954892
1219b287829000
139b1000530a9
1449a45c2d200
15254e2a50000
hex13c3a8a2ec0

1358191800000 has 2520 divisors, whose sum is σ = 6158411305200. Its totient is φ = 294658560000.

The previous prime is 1358191799999. The next prime is 1358191800023. The reversal of 1358191800000 is 81918531.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 23020199971 + ... + 23020200029.

It is an arithmetic number, because the mean of its divisors is an integer number (2443814010).

Almost surely, 21358191800000 is an apocalyptic number.

1358191800000 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 1358191800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079205652600).

1358191800000 is an abundant number, since it is smaller than the sum of its proper divisors (4800219505200).

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

1358191800000 is an frugal number, since it uses more digits than its factorization.

1358191800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 1358191800000 in words is "one trillion, three hundred fifty-eight billion, one hundred ninety-one million, eight hundred thousand".