Search a number
-
+
1373359579680 = 2535118314932099
BaseRepresentation
bin10011111111000010100…
…111000010001000100000
311212021212210100020000210
4103333002213002020200
5140000120023022210
62530525050014120
7201136062550104
oct23770247021040
94767783306023
101373359579680
1148a4907521a0
121a21bb417340
139c67958495a
144a684449904
1525ace456e20
hex13fc29c2220

1373359579680 has 384 divisors, whose sum is σ = 4781698790400. Its totient is φ = 328547471360.

The previous prime is 1373359579673. The next prime is 1373359579681. The reversal of 1373359579680 is 869759533731.

It is a super-2 number, since 2×13733595796802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (1373359579681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 654291271 + ... + 654293369.

It is an arithmetic number, because the mean of its divisors is an integer number (12452340600).

Almost surely, 21373359579680 is an apocalyptic number.

1373359579680 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 1373359579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390849395200).

1373359579680 is an abundant number, since it is smaller than the sum of its proper divisors (3408339210720).

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

1373359579680 is a wasteful number, since it uses less digits than its factorization.

1373359579680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 66.

The spelling of 1373359579680 in words is "one trillion, three hundred seventy-three billion, three hundred fifty-nine million, five hundred seventy-nine thousand, six hundred eighty".