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12434322032 = 2411267257373
BaseRepresentation
bin10111001010010010…
…01011001001110000
31012002120101000011122
423211021023021300
5200431141301112
65413502401412
7620063664506
oct134511131160
935076330148
1012434322032
11530093a200
1224b0290268
131232132402
1485d598676
154cb963872
hex2e524b270

12434322032 has 120 divisors (see below), whose sum is σ = 27052883088. Its totient is φ = 5531074560.

The previous prime is 12434322011. The next prime is 12434322049. The reversal of 12434322032 is 23022343421.

It is a super-2 number, since 2×124343220322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12434321992 and 12434322010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33335798 + ... + 33336170.

Almost surely, 212434322032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13526441544).

12434322032 is an abundant number, since it is smaller than the sum of its proper divisors (14618561056).

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

12434322032 is a wasteful number, since it uses less digits than its factorization.

12434322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 12434322032 its reverse (23022343421), we get a palindrome (35456665453).

The spelling of 12434322032 in words is "twelve billion, four hundred thirty-four million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 67 88 121 134 176 242 257 268 373 484 514 536 737 746 968 1028 1072 1474 1492 1936 2056 2827 2948 2984 4103 4112 5654 5896 5968 8107 8206 11308 11792 16214 16412 17219 22616 24991 31097 32428 32824 34438 45133 45232 49982 62194 64856 65648 68876 90266 95861 99964 124388 129712 137752 180532 189409 191722 199928 248776 274901 275504 361064 378818 383444 399856 497552 549802 722128 757636 766888 1054471 1099604 1515272 1533776 2083499 2108942 2199208 3023911 3030544 4166998 4217884 4398416 6047822 6422687 8333996 8435768 11599181 12095644 12845374 16667992 16871536 23198362 24191288 25690748 33335984 46396724 48382576 51381496 70649557 92793448 102762992 141299114 185586896 282598228 565196456 777145127 1130392912 1554290254 3108580508 6217161016 12434322032