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28964976481 = 724125932
BaseRepresentation
bin11010111110011100…
…100111011101100001
32202202121201021000201
4122332130213131201
5433310013221411
621150055545201
72043531144400
oct327634473541
982677637021
1028964976481
1111313a795a1
12574438b201
132967b1454c
14158abc1637
15b47d2a3c1
hex6be727761

28964976481 has 27 divisors (see below), whose sum is σ = 34594137273. Its totient is φ = 24180737280.

The previous prime is 28964976479. The next prime is 28964976503. The reversal of 28964976481 is 18467946982.

The square root of 28964976481 is 170191.

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 5438325025 + 23526651456 = 73745^2 + 153384^2 .

It is not a de Polignac number, because 28964976481 - 21 = 28964976479 is a prime.

It is a super-2 number, since 2×289649764812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28964976401) 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, 48844521 + ... + 48845113.

Almost surely, 228964976481 is an apocalyptic number.

28964976481 is the 170191-st square number.

28964976481 is the 85096-th centered octagonal number.

It is an amenable number.

28964976481 is a deficient number, since it is larger than the sum of its proper divisors (5629160792).

28964976481 is an frugal number, since it uses more digits than its factorization.

28964976481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 641 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 64.

Multiplying 28964976481 by its sum of digits (64), we get a square (1853758494784 = 13615282).

The spelling of 28964976481 in words is "twenty-eight billion, nine hundred sixty-four million, nine hundred seventy-six thousand, four hundred eighty-one".

Divisors: 1 7 41 49 287 593 1681 2009 4151 11767 24313 29057 82369 170191 351649 996833 1191337 2461543 6977831 14417609 17230801 48844817 100923263 591121969 706462841 4137853783 28964976481