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1928540460961 = 13887192
BaseRepresentation
bin11100000100000101111…
…110000001011110100001
320211100220022010010221001
4130010011332001132201
5223044122324222321
64033543111032001
7256222013305402
oct34040576013641
96740808103831
101928540460961
116839868a4504
1227192036b601
1310cb2592306a
14694b00a79a9
15352746b5c91
hex1c105f817a1

1928540460961 has 3 divisors (see below), whose sum is σ = 1928541849681. Its totient is φ = 1928539072242.

The previous prime is 1928540460947. The next prime is 1928540460997. The reversal of 1928540460961 is 1690640458291.

The square root of 1928540460961 is 1388719.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 1928540460961 - 25 = 1928540460929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1928540461961) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 694360 + ... + 2083078.

It is an arithmetic number, because the mean of its divisors is an integer number (642847283227).

Almost surely, 21928540460961 is an apocalyptic number.

1928540460961 is the 1388719-th square number.

1928540460961 is the 694360-th centered octagonal number.

It is an amenable number.

1928540460961 is a deficient number, since it is larger than the sum of its proper divisors (1388720).

1928540460961 is an frugal number, since it uses more digits than its factorization.

1928540460961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777438 (or 1388719 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 1928540460961 in words is "one trillion, nine hundred twenty-eight billion, five hundred forty million, four hundred sixty thousand, nine hundred sixty-one".

Divisors: 1 1388719 1928540460961