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13531202432 = 271133728517
BaseRepresentation
bin11001001101000010…
…11100001110000000
31021221000100022012122
430212201130032000
5210202441434212
610114404343412
7656213215526
oct144641341600
937830308178
1013531202432
115814013730
1227576a4b68
131378460177
14925124316
15542dd0272
hex32685c380

13531202432 has 64 divisors (see below), whose sum is σ = 29495597040. Its totient is φ = 6132080640.

The previous prime is 13531202383. The next prime is 13531202449. The reversal of 13531202432 is 23420213531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460238 + ... + 488754.

Almost surely, 213531202432 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 13531202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747798520).

13531202432 is an abundant number, since it is smaller than the sum of its proper divisors (15964394608).

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

13531202432 is a wasteful number, since it uses less digits than its factorization.

13531202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28879 (or 28867 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 13531202432 its reverse (23420213531), we get a palindrome (36951415963).

The spelling of 13531202432 in words is "thirteen billion, five hundred thirty-one million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 337 352 674 704 1348 1408 2696 3707 5392 7414 10784 14828 21568 28517 29656 43136 57034 59312 114068 118624 228136 237248 313687 456272 474496 627374 912544 1254748 1825088 2509496 3650176 5018992 9610229 10037984 19220458 20075968 38440916 40151936 76881832 105712519 153763664 211425038 307527328 422850076 615054656 845700152 1230109312 1691400304 3382800608 6765601216 13531202432