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80475477124 = 22722328812
BaseRepresentation
bin100101011110010110…
…1100101010010000100
321200201110210210222211
41022330231211102010
52304303210231444
6100545300433204
75546154161200
oct1127455452204
9250643723884
1080475477124
1131147344089
121371b0a8804
1377867b1c23
143c75d89b00
1521600e0c34
hex12bcb65484

80475477124 has 81 divisors (see below), whose sum is σ = 171452206821. Its totient is φ = 32952501120.

The previous prime is 80475477119. The next prime is 80475477127. The reversal of 80475477124 is 42177457408.

The square root of 80475477124 is 283682.

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., 14117717124 + 66357760000 = 118818^2 + 257600^2 .

It is a super-2 number, since 2×804754771242 (a number of 23 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 (80475477127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91345164 + ... + 91346044.

Almost surely, 280475477124 is an apocalyptic number.

80475477124 is the 283682-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80475477124

80475477124 is an abundant number, since it is smaller than the sum of its proper divisors (90976729697).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80475477124 is an equidigital number, since it uses as much as digits as its factorization.

80475477124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 49.

Multiplying 80475477124 by its sum of digits (49), we get a square (3943298379076 = 19857742).

80475477124 divided by its sum of digits (49) gives a square (1642356676 = 405262).

The spelling of 80475477124 in words is "eighty billion, four hundred seventy-five million, four hundred seventy-seven thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 881 1058 1127 1762 2116 2254 3524 3703 4508 6167 7406 12334 14812 20263 24668 25921 40526 43169 51842 81052 86338 103684 141841 172676 283682 466049 567364 776161 932098 992887 1552322 1864196 1985774 3104644 3262343 3971548 5433127 6524686 10866254 13049372 17851703 21732508 22836401 35703406 38031889 45672802 71406812 76063778 91345604 124961921 152127556 249923842 410589169 499847684 821178338 874733447 1642356676 1749466894 2874124183 3498933788 5748248366 11496496732 20118869281 40237738562 80475477124