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122835452552 = 231723721972
BaseRepresentation
bin111001001100110010…
…0000100001010001000
3102202001121120112011122
41302121210010022020
54003031333440202
6132232502014412
711605656055631
oct1623144041210
9382047515148
10122835452552
114810445763a
121b981417408
13b777778347
145d33b58888
1532ddd949a2
hex1c99904288

122835452552 has 108 divisors (see below), whose sum is σ = 252735519645. Its totient is φ = 55957128192.

The previous prime is 122835452477. The next prime is 122835452633. The reversal of 122835452552 is 255254538221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 119007060676 + 3828391876 = 344974^2 + 61874^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247826.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 623530118 + ... + 623530314.

Almost surely, 2122835452552 is an apocalyptic number.

It is an amenable number.

122835452552 is an abundant number, since it is smaller than the sum of its proper divisors (129900067093).

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

122835452552 is an equidigital number, since it uses as much as digits as its factorization.

122835452552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 253 counting only the distinct ones).

The product of its digits is 960000, while the sum is 44.

The spelling of 122835452552 in words is "one hundred twenty-two billion, eight hundred thirty-five million, four hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 8 17 34 37 68 74 136 148 197 289 296 394 578 629 788 1156 1258 1369 1576 2312 2516 2738 3349 5032 5476 6698 7289 10693 10952 13396 14578 21386 23273 26792 29156 38809 42772 46546 56933 58312 77618 85544 93092 113866 123913 155236 186184 227732 247826 269693 310472 395641 455464 495652 539386 659753 791282 991304 1078772 1319506 1435933 1582564 2106521 2157544 2639012 2871866 3165128 4213042 4584781 5278024 5743732 8426084 9169562 11215801 11487464 16852168 18339124 22431602 24410861 36678248 44863204 48821722 53129521 77941277 89726408 97643444 106259042 155882554 195286888 212518084 311765108 414984637 425036168 623530216 829969274 903201857 1659938548 1806403714 3319877096 3612807428 7225614856 15354431569 30708863138 61417726276 122835452552