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32430013252 = 227131071734813
BaseRepresentation
bin11110001100111110…
…101011101101000100
310002201002210100212221
4132030332223231010
51012404040411002
622521555422124
72225434364410
oct361476535504
9102632710787
1032430013252
1112831995a4a
1263508b4944
13309a95ba70
1417d907bd40
15c9c12cc37
hex78cfabb44

32430013252 has 96 divisors (see below), whose sum is σ = 70924315392. Its totient is φ = 12633463296.

The previous prime is 32430013237. The next prime is 32430013267. The reversal of 32430013252 is 25231003423.

It is an interprime number because it is at equal distance from previous prime (32430013237) and next prime (32430013267).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6735598 + ... + 6740410.

It is an arithmetic number, because the mean of its divisors is an integer number (738794952).

Almost surely, 232430013252 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 32430013252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35462157696).

32430013252 is an abundant number, since it is smaller than the sum of its proper divisors (38494302140).

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

32430013252 is a wasteful number, since it uses less digits than its factorization.

32430013252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 32430013252 its reverse (25231003423), we get a palindrome (57661016675).

The spelling of 32430013252 in words is "thirty-two billion, four hundred thirty million, thirteen thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 107 173 182 214 346 364 428 692 749 1211 1391 1498 2249 2422 2782 2996 4498 4813 4844 5564 8996 9626 9737 15743 18511 19252 19474 31486 33691 37022 38948 62569 62972 67382 74044 125138 129577 134764 240643 250276 259154 437983 481286 514991 518308 832649 875966 962572 1029982 1665298 1684501 1751932 2059964 3330596 3369002 3604937 5828543 6694883 6738004 7209874 10824437 11657086 13389766 14419748 21648874 23314172 26779532 43297748 46864181 75771059 89093443 93728362 151542118 178186886 187456724 303084236 356373772 623654101 1158214759 1247308202 2316429518 2494616404 4632859036 8107503313 16215006626 32430013252