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13302011632 = 2471321036823
BaseRepresentation
bin11000110001101110…
…01001011011110000
31021100001002012112111
430120313021123300
5204220303333012
610035540135104
7650431143010
oct143067113360
937301065474
1013302011632
115706703248
1226b2997494
13133cb25300
14902903c40
1552cc0bba7
hex318dc96f0

13302011632 has 120 divisors (see below), whose sum is σ = 32208843264. Its totient is φ = 5210479872.

The previous prime is 13302011617. The next prime is 13302011651. The reversal of 13302011632 is 23611020331.

13302011632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1946173 + ... + 1952995.

Almost surely, 213302011632 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 13302011632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104421632).

13302011632 is an abundant number, since it is smaller than the sum of its proper divisors (18906831632).

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

13302011632 is a wasteful number, since it uses less digits than its factorization.

13302011632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13302011632 its reverse (23611020331), we get a palindrome (36913031963).

The spelling of 13302011632 in words is "thirteen billion, three hundred two million, eleven thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 103 104 112 169 182 206 208 338 364 412 676 721 728 824 1183 1339 1352 1442 1456 1648 2366 2678 2704 2884 4732 5356 5768 6823 9373 9464 10712 11536 13646 17407 18746 18928 21424 27292 34814 37492 47761 54584 69628 74984 88699 95522 109168 121849 139256 149968 177398 191044 243698 278512 354796 382088 487396 620893 702769 709592 764176 974792 1153087 1241786 1405538 1419184 1949584 2306174 2483572 2811076 4612348 4919383 4967144 5622152 8071609 9135997 9224696 9838766 9934288 11244304 16143218 18271994 18449392 19677532 32286436 36543988 39355064 63951979 64572872 73087976 78710128 118767961 127903958 129145744 146175952 237535922 255807916 475071844 511615832 831375727 950143688 1023231664 1662751454 1900287376 3325502908 6651005816 13302011632