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48506098081 = 727324312
BaseRepresentation
bin101101001011001100…
…000101000110100001
311122012110210002110011
4231023030011012201
51243320030114311
634141114004521
73335012013400
oct551314050641
9148173702404
1048506098081
1119631478471
129498716741
1347604042ac
1424c2177637
1513dd652321
hexb4b3051a1

48506098081 has 27 divisors (see below), whose sum is σ = 57342044403. Its totient is φ = 40911968160.

The previous prime is 48506098063. The next prime is 48506098087. The reversal of 48506098081 is 18089060584.

The square root of 48506098081 is 220241.

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., 27534424225 + 20971673856 = 165935^2 + 144816^2 .

It is not a de Polignac number, because 48506098081 - 25 = 48506098049 is a prime.

It is a super-2 number, since 2×485060980812 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (48506098087) 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, 112542936 + ... + 112543366.

Almost surely, 248506098081 is an apocalyptic number.

48506098081 is the 220241-st square number.

48506098081 is the 110121-st centered octagonal number.

It is an amenable number.

48506098081 is a deficient number, since it is larger than the sum of its proper divisors (8835946322).

48506098081 is an frugal number, since it uses more digits than its factorization.

48506098081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

Multiplying 48506098081 by its sum of digits (49), we get a square (2376798805969 = 15416872).

48506098081 divided by its sum of digits (49) gives a square (989920369 = 314632).

The spelling of 48506098081 in words is "forty-eight billion, five hundred six million, ninety-eight thousand, eighty-one".

Divisors: 1 7 49 73 431 511 3017 3577 5329 21119 31463 37303 185761 220241 261121 1300327 1541687 2296799 9102289 13560553 16077593 94923871 112543151 664467097 989920369 6929442583 48506098081