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32053440432 = 24313217232433
BaseRepresentation
bin11101110110100010…
…001010111110110000
310001201212012111002110
4131312202022332300
51011121140043212
622420344245320
72213212514436
oct356642127660
9101655174073
1032053440432
1112659371242
126266770840
13303a930800
1417a1054d56
15c79045a3c
hex77688afb0

32053440432 has 120 divisors (see below), whose sum is σ = 94939061904. Its totient is φ = 9282404352.

The previous prime is 32053440431. The next prime is 32053440443. The reversal of 32053440432 is 23404435023.

It is a self number, because there is not a number n which added to its sum of digits gives 32053440432.

It is not an unprimeable number, because it can be changed into a prime (32053440431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21688 + ... + 254120.

Almost surely, 232053440432 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 32053440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47469530952).

32053440432 is an abundant number, since it is smaller than the sum of its proper divisors (62885621472).

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

32053440432 is a wasteful number, since it uses less digits than its factorization.

32053440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232487 (or 232468 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 32053440432 its reverse (23404435023), we get a palindrome (55457875455).

The spelling of 32053440432 in words is "thirty-two billion, fifty-three million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 169 204 208 221 272 312 338 408 442 507 624 663 676 816 884 1014 1326 1352 1768 2028 2652 2704 2873 3536 4056 5304 5746 8112 8619 10608 11492 17238 22984 34476 45968 68952 137904 232433 464866 697299 929732 1394598 1859464 2789196 3021629 3718928 3951361 5578392 6043258 7902722 9064887 11156784 11854083 12086516 15805444 18129774 23708166 24173032 31610888 36259548 39281177 47416332 48346064 51367693 63221776 72519096 78562354 94832664 102735386 117843531 145038192 154103079 157124708 189665328 205470772 235687062 308206158 314249416 410941544 471374124 616412316 628498832 667780009 821883088 942748248 1232824632 1335560018 1885496496 2003340027 2465649264 2671120036 4006680054 5342240072 8013360108 10684480144 16026720216 32053440432