Search a number
-
+
1376283268801 = 721675932
BaseRepresentation
bin10100000001110000111…
…000000001011011000001
311212120102112210000112001
4110001300320001123001
5140022112004100201
62532131130504001
7201301403523100
oct24016070013301
94776375700461
101376283268801
114907510310a1
121a2896595001
139ca241cb00c
144a88086a037
1525c00e75301
hex14070e016c1

1376283268801 has 9 divisors (see below), whose sum is σ = 1600992130851. Its totient is φ = 1179664334352.

The previous prime is 1376283268783. The next prime is 1376283268847. The reversal of 1376283268801 is 1088623826731.

The square root of 1376283268801 is 1173151.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1211265330625 + 165017938176 = 1100575^2 + 406224^2 .

It is not a de Polignac number, because 1376283268801 - 211 = 1376283266753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1376283268001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8128261 + ... + 8295853.

It is an arithmetic number, because the mean of its divisors is an integer number (177888014539).

Almost surely, 21376283268801 is an apocalyptic number.

1376283268801 is the 1173151-st square number.

1376283268801 is the 586576-th centered octagonal number.

It is an amenable number.

1376283268801 is a deficient number, since it is larger than the sum of its proper divisors (224708862050).

1376283268801 is an frugal number, since it uses more digits than its factorization.

1376283268801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335200 (or 167600 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 1376283268801 in words is "one trillion, three hundred seventy-six billion, two hundred eighty-three million, two hundred sixty-eight thousand, eight hundred one".

Divisors: 1 7 49 167593 1173151 8212057 28087413649 196611895543 1376283268801