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45796428001 = 173212372
BaseRepresentation
bin101010101001101011…
…100000100011100001
311101012122001120220001
4222221223200203201
51222242341144001
633012200220001
73210610133542
oct525153404341
9141178046801
1045796428001
1118470987205
128a6116a601
13441ac1320c
1423063484c9
1512d080c001
hexaa9ae08e1

45796428001 has 9 divisors (see below), whose sum is σ = 46099944921. Its totient is φ = 45494900592.

The previous prime is 45796427953. The next prime is 45796428037. The reversal of 45796428001 is 10082469754.

The square root of 45796428001 is 214001.

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 21185093601 + 24611334400 = 145551^2 + 156880^2 .

It is not a de Polignac number, because 45796428001 - 215 = 45796395233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45796428071) 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, 37021555 + ... + 37022791.

Almost surely, 245796428001 is an apocalyptic number.

45796428001 is the 214001-st square number.

45796428001 is the 107001-st centered octagonal number.

It is an amenable number.

45796428001 is a deficient number, since it is larger than the sum of its proper divisors (303516920).

45796428001 is an frugal number, since it uses more digits than its factorization.

45796428001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 45796428001 in words is "forty-five billion, seven hundred ninety-six million, four hundred twenty-eight thousand, one".

Divisors: 1 173 1237 29929 214001 1530169 37022173 264719237 45796428001