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51231153649 = 1322327572
BaseRepresentation
bin101111101101100111…
…010101110111110001
311220020101110020221011
4233231213111313301
51314410133404044
635311341230521
73462361422664
oct575547256761
9156211406834
1051231153649
111a7aa718005
129b19262441
134aa5b51300
1426a004d6db
1514ec9d6134
hexbed9d5df1

51231153649 has 27 divisors (see below), whose sum is σ = 58068694593. Its totient is φ = 45174441312.

The previous prime is 51231153647. The next prime is 51231153683. The reversal of 51231153649 is 94635113215.

It is a happy number.

The square root of 51231153649 is 226343.

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 3689712049 + 47541441600 = 60743^2 + 218040^2 .

It is not a de Polignac number, because 51231153649 - 21 = 51231153647 is a prime.

It is a super-2 number, since 2×512311536492 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51231153647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67676179 + ... + 67676935.

Almost surely, 251231153649 is an apocalyptic number.

51231153649 is the 226343-rd square number.

51231153649 is the 113172-nd centered octagonal number.

It is an amenable number.

51231153649 is a deficient number, since it is larger than the sum of its proper divisors (6837540944).

51231153649 is an frugal number, since it uses more digits than its factorization.

51231153649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 793 counting only the distinct ones).

The product of its digits is 97200, while the sum is 40.

The spelling of 51231153649 in words is "fifty-one billion, two hundred thirty-one million, one hundred fifty-three thousand, six hundred forty-nine".

Divisors: 1 13 23 169 299 529 757 3887 6877 9841 17411 89401 127933 226343 400453 573049 2942459 5205889 7449637 13180127 67676557 96845281 171341651 303142921 2227441463 3940857973 51231153649