Search a number
-
+
1373672969760 = 2535721329375379
BaseRepresentation
bin10011111111010101010…
…010100001011000100000
311212022200122001002101210
4103333111102201120200
5140001240240013020
62531020123030120
7201146616405600
oct23772522413040
94768618032353
101373672969760
1148a631641863
121a228836b340
139c6c9490380
144a6b3d06c00
1525aebc0d3e0
hex13fd54a1620

1373672969760 has 2304 divisors, whose sum is σ = 5942145484800. Its totient is φ = 263753957376.

The previous prime is 1373672969741. The next prime is 1373672969791. The reversal of 1373672969760 is 679692763731.

It is a happy number.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1373672969691 and 1373672969700.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 17388265401 + ... + 17388265479.

It is an arithmetic number, because the mean of its divisors is an integer number (2579056200).

Almost surely, 21373672969760 is an apocalyptic number.

1373672969760 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 1373672969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971072742400).

1373672969760 is an abundant number, since it is smaller than the sum of its proper divisors (4568472515040).

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

1373672969760 is a wasteful number, since it uses less digits than its factorization.

1373672969760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 108020304, while the sum is 66.

It can be divided in two parts, 1373672 and 969760, that added together give a palindrome (2343432).

The spelling of 1373672969760 in words is "one trillion, three hundred seventy-three billion, six hundred seventy-two million, nine hundred sixty-nine thousand, seven hundred sixty".