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28269348026832 = 24321165327330491
BaseRepresentation
bin1100110110101111110000…
…11100100111100111010000
310201002112010110200100211200
412123113320130213213100
512201131111043324312
6140042431553111200
75645251540342323
oct633277034474720
9121075113610750
1028269348026832
119009a65a87440
123206957558500
1312a0a32549563
146da35ab9c7ba
1534053d4e90dc
hex19b5f87279d0

28269348026832 has 120 divisors (see below), whose sum is σ = 86439349590048. Its totient is φ = 8553350150400.

The previous prime is 28269348026831. The next prime is 28269348026869. The reversal of 28269348026832 is 23862084396282.

28269348026832 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 93 + 480 + 2 + 68 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28269348026832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28269348026831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12630894 + ... + 14699597.

Almost surely, 228269348026832 is an apocalyptic number.

28269348026832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

28269348026832 is an abundant number, since it is smaller than the sum of its proper divisors (58170001563216).

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

28269348026832 is a wasteful number, since it uses less digits than its factorization.

28269348026832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27331169 (or 27331160 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 28269348026832 in words is "twenty-eight trillion, two hundred sixty-nine billion, three hundred forty-eight million, twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 653 792 1306 1584 1959 2612 3918 5224 5877 7183 7836 10448 11754 14366 15672 21549 23508 28732 31344 43098 47016 57464 64647 86196 94032 114928 129294 172392 258588 344784 517176 1034352 27330491 54660982 81991473 109321964 163982946 218643928 245974419 300635401 327965892 437287856 491948838 601270802 655931784 901906203 983897676 1202541604 1311863568 1803812406 1967795352 2405083208 2705718609 3607624812 3935590704 4810166416 5411437218 7215249624 10822874436 14430499248 17846810623 21645748872 35693621246 43291497744 53540431869 71387242492 107080863738 142774484984 160621295607 196314916853 214161727476 285548969968 321242591214 392629833706 428323454952 588944750559 642485182428 785259667412 856646909904 1177889501118 1284970364856 1570519334824 1766834251677 2355779002236 2569940729712 3141038669648 3533668503354 4711558004472 7067337006708 9423116008944 14134674013416 28269348026832