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81346826448 = 243462767613
BaseRepresentation
bin100101111000010100…
…1100001000011010000
321202222012101221120000
41023300221201003100
52313044241421243
6101211544450000
75606564421216
oct1136051410320
9252865357500
1081346826448
1131554187798
1213922a79900
137895186844
143d199a8cb6
1521b185d5d3
hex12f0a610d0

81346826448 has 50 divisors (see below), whose sum is σ = 235441320114. Its totient is φ = 27115608384.

The previous prime is 81346826447. The next prime is 81346826467. The reversal of 81346826448 is 84462864318.

It is a happy number.

81346826448 is a `hidden beast` number, since 8 + 134 + 68 + 2 + 6 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74110261824 + 7236564624 = 272232^2 + 85068^2 .

It is a super-2 number, since 2×813468264482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 81346826394 and 81346826403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81346826447) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31382511 + ... + 31385102.

Almost surely, 281346826448 is an apocalyptic number.

It is an amenable number.

81346826448 is an abundant number, since it is smaller than the sum of its proper divisors (154094493666).

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

81346826448 is a wasteful number, since it uses less digits than its factorization.

81346826448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62767633 (or 62767618 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 81346826448 in words is "eighty-one billion, three hundred forty-six million, eight hundred twenty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 62767613 125535226 188302839 251070452 376605678 502140904 564908517 753211356 1004281808 1129817034 1506422712 1694725551 2259634068 3012845424 3389451102 4519268136 5084176653 6778902204 9038536272 10168353306 13557804408 20336706612 27115608816 40673413224 81346826448