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1026430370641 = 132779332
BaseRepresentation
bin11101110111111000000…
…01001000001101010001
310122010101200211100221101
432323330001020031101
5113304112133330031
62103311405024401
7134104621124134
oct16737401101521
93563350740841
101026430370641
11366341204615
12146b19555101
1375a3ac55400
143797276a21b
151ba76ccc361
hexeefc048351

1026430370641 has 9 divisors (see below), whose sum is σ = 1111474367409. Its totient is φ = 947462030736.

The previous prime is 1026430370629. The next prime is 1026430370687. The reversal of 1026430370641 is 1460730346201.

The square root of 1026430370641 is 1013129.

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

It can be written as a sum of positive squares in 4 ways, for example, as 217222177041 + 809208193600 = 466071^2 + 899560^2 .

It is not a de Polignac number, because 1026430370641 - 225 = 1026396816209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1026430370641.

It is not an unprimeable number, because it can be changed into a prime (1026430370611) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 13131711 + ... + 13209643.

Almost surely, 21026430370641 is an apocalyptic number.

1026430370641 is the 1013129-th square number.

1026430370641 is the 506565-th centered octagonal number.

It is an amenable number.

1026430370641 is a deficient number, since it is larger than the sum of its proper divisors (85043996768).

1026430370641 is an frugal number, since it uses more digits than its factorization.

1026430370641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155892 (or 77946 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 1026430370641 in words is "one trillion, twenty-six billion, four hundred thirty million, three hundred seventy thousand, six hundred forty-one".

Divisors: 1 13 169 77933 1013129 13170677 6073552489 78956182357 1026430370641