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104535354224 = 2472148190031
BaseRepresentation
bin110000101011011001…
…0101110101101110000
3100222211020201012122002
41201112302232231300
53203042022313344
6120004535233132
710360324564400
oct1412662565560
9328736635562
10104535354224
1140373533934
12183148187a8
139b1c3142b2
1450b9530800
152abc4ad44e
hex1856caeb70

104535354224 has 60 divisors (see below), whose sum is σ = 235766258208. Its totient is φ = 44770118400.

The previous prime is 104535354197. The next prime is 104535354241. The reversal of 104535354224 is 422453535401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1116089 + ... + 1206119.

Almost surely, 2104535354224 is an apocalyptic number.

104535354224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104535354224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117883129104).

104535354224 is an abundant number, since it is smaller than the sum of its proper divisors (131230903984).

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

104535354224 is a wasteful number, since it uses less digits than its factorization.

104535354224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91534 (or 91521 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

Adding to 104535354224 its reverse (422453535401), we get a palindrome (526988889625).

The spelling of 104535354224 in words is "one hundred four billion, five hundred thirty-five million, three hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1481 2962 5924 10367 11848 20734 23696 41468 72569 82936 90031 145138 165872 180062 290276 360124 580552 630217 720248 1161104 1260434 1440496 2520868 4411519 5041736 8823038 10083472 17646076 35292152 70584304 133335911 266671822 533343644 933351377 1066687288 1866702754 2133374576 3733405508 6533459639 7466811016 13066919278 14933622032 26133838556 52267677112 104535354224