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928153047649 = 172566712
BaseRepresentation
bin11011000000110100011…
…10111001001001100001
310021201201120201002021211
431200122032321021201
5110201324140011044
61550215420550121
7124025332506442
oct15403216711141
93251646632254
10928153047649
1132869a220223
1212ba706b2341
13696a8301c99
1432ccc4152c9
1519223e25634
hexd81a3b9261

928153047649 has 9 divisors (see below), whose sum is σ = 985979286291. Its totient is φ = 873540395040.

The previous prime is 928153047623. The next prime is 928153047749. The reversal of 928153047649 is 946740351829.

The square root of 928153047649 is 963407.

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., 722610504225 + 205542543424 = 850065^2 + 453368^2 .

It is not a de Polignac number, because 928153047649 - 217 = 928152916577 is a prime.

It is a super-2 number, since 2×9281530476492 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 928153047593 and 928153047602.

It is not an unprimeable number, because it can be changed into a prime (928153047749) 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, 16349584 + ... + 16406254.

It is a 1-persistent number, because it is pandigital, but 2⋅928153047649 = 1856306095298 is not.

Almost surely, 2928153047649 is an apocalyptic number.

928153047649 is the 963407-th square number.

928153047649 is the 481704-th centered octagonal number.

It is an amenable number.

928153047649 is a deficient number, since it is larger than the sum of its proper divisors (57826238642).

928153047649 is an frugal number, since it uses more digits than its factorization.

928153047649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113376 (or 56688 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 928153047649 in words is "nine hundred twenty-eight billion, one hundred fifty-three million, forty-seven thousand, six hundred forty-nine".

Divisors: 1 17 289 56671 963407 16377919 3211602241 54597238097 928153047649