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13432110024032 = 25732834324279
BaseRepresentation
bin1100001101110110100000…
…1001011000010101100000
31202120002121211202010110122
43003131220021120111200
53230032430131232112
644322343130015412
72554303131245000
oct303355011302540
952502554663418
1013432110024032
114309586a30437
12160b296577568
1376584787917b
1434619096c000
15184600051872
hexc3768258560

13432110024032 has 96 divisors (see below), whose sum is σ = 30948007104000. Its totient is φ = 5736275846784.

The previous prime is 13432110024031. The next prime is 13432110024041. The reversal of 13432110024032 is 23042001123431.

It is a junction number, because it is equal to n+sod(n) for n = 13432110023992 and 13432110024010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13432110024031) 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, 944069 + ... + 5268347.

It is an arithmetic number, because the mean of its divisors is an integer number (322375074000).

Almost surely, 213432110024032 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 13432110024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15474003552000).

13432110024032 is an abundant number, since it is smaller than the sum of its proper divisors (17515897079968).

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

13432110024032 is an equidigital number, since it uses as much as digits as its factorization.

13432110024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324593 (or 4324571 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13432110024032 its reverse (23042001123431), we get a palindrome (36474111147463).

The spelling of 13432110024032 in words is "thirteen trillion, four hundred thirty-two billion, one hundred ten million, twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 283 343 392 566 686 784 1132 1372 1568 1981 2264 2744 3962 4528 5488 7924 9056 10976 13867 15848 27734 31696 55468 63392 97069 110936 194138 221872 388276 443744 776552 1553104 3106208 4324279 8648558 17297116 30269953 34594232 60539906 69188464 121079812 138376928 211889671 242159624 423779342 484319248 847558684 968638496 1223770957 1483227697 1695117368 2447541914 2966455394 3390234736 4895083828 5932910788 6780469472 8566396699 9790167656 11865821576 17132793398 19580335312 23731643152 34265586796 39160670624 47463286304 59964776893 68531173592 119929553786 137062347184 239859107572 274124694368 419753438251 479718215144 839506876502 959436430288 1679013753004 1918872860576 3358027506008 6716055012016 13432110024032