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12533020032 = 2731310932297
BaseRepresentation
bin10111010110000011…
…01011010110000000
31012100110002101101010
423223001223112000
5201131423120112
65431350040520
7622402625001
oct135301532600
935313071333
1012533020032
1153516214a5
122519349140
13124970b3b0
1486c72b1a8
154d545c63c
hex2eb06b580

12533020032 has 128 divisors (see below), whose sum is σ = 35900091360. Its totient is φ = 3851108352.

The previous prime is 12533019979. The next prime is 12533020033. The reversal of 12533020032 is 23002033521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×125330200322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12533019990 and 12533020008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12533020033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5455108 + ... + 5457404.

Almost surely, 212533020032 is an apocalyptic number.

12533020032 is a gapful number since it is divisible by the number (12) 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 12533020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17950045680).

12533020032 is an abundant number, since it is smaller than the sum of its proper divisors (23367071328).

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

12533020032 is a wasteful number, since it uses less digits than its factorization.

12533020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 12533020032 its reverse (23002033521), we get a palindrome (35535053553).

The spelling of 12533020032 in words is "twelve billion, five hundred thirty-three million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1093 1248 1664 2186 2297 2496 3279 4372 4594 4992 6558 6891 8744 9188 13116 13782 14209 17488 18376 26232 27564 28418 29861 34976 36752 42627 52464 55128 56836 59722 69952 73504 85254 89583 104928 110256 113672 119444 139904 147008 170508 179166 209856 220512 227344 238888 294016 341016 358332 419712 441024 454688 477776 682032 716664 882048 909376 955552 1364064 1433328 1818752 1911104 2510621 2728128 2866656 3822208 5021242 5456256 5733312 7531863 10042484 11466624 15063726 20084968 30127452 32638073 40169936 60254904 65276146 80339872 97914219 120509808 130552292 160679744 195828438 241019616 261104584 321359488 391656876 482039232 522209168 783313752 964078464 1044418336 1566627504 2088836672 3133255008 4177673344 6266510016 12533020032