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1345671920961 = 323866772
BaseRepresentation
bin10011100101010000010…
…010111111110101000001
311202122102012010102120100
4103211100102333311001
5134021414002432321
62510105415233013
7166136001413034
oct23452022776501
94678365112510
101345671920961
11479772799415
12198972978769
1399b86296144
14491b916301b
152500d83b326
hex139504bfd41

1345671920961 has 9 divisors (see below), whose sum is σ = 1943753357091. Its totient is φ = 897112293912.

The previous prime is 1345671920953. The next prime is 1345671921017. The reversal of 1345671920961 is 1690291765431.

The square root of 1345671920961 is 1160031.

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

1345671920961 is a `hidden beast` number, since 1 + 3 + 4 + 567 + 19 + 2 + 0 + 9 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29246130225 + 1316425790736 = 171015^2 + 1147356^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1345671920961 - 23 = 1345671920953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1345671920898 and 1345671920907.

It is not an unprimeable number, because it can be changed into a prime (1345671920911) 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, 3286755 + ... + 3673431.

Almost surely, 21345671920961 is an apocalyptic number.

1345671920961 is the 1160031-st square number.

1345671920961 is the 580016-th centered octagonal number.

It is an amenable number.

1345671920961 is a deficient number, since it is larger than the sum of its proper divisors (598081436130).

1345671920961 is an frugal number, since it uses more digits than its factorization.

1345671920961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773360 (or 386680 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1345671920961 in words is "one trillion, three hundred forty-five billion, six hundred seventy-one million, nine hundred twenty thousand, nine hundred sixty-one".

Divisors: 1 3 9 386677 1160031 3480093 149519102329 448557306987 1345671920961