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13471425432 = 23324112735933
BaseRepresentation
bin11001000101111010…
…11010001110011000
31021202211212022120200
430202331122032120
5210042141103212
610104431222200
7654556140543
oct144275321630
937684768520
1013471425432
1157932a5353
12273b677960
131368c6086a
1491b20385a
1553ca236dc
hex322f5a398

13471425432 has 96 divisors (see below), whose sum is σ = 37670330880. Its totient is φ = 4346334720.

The previous prime is 13471425397. The next prime is 13471425439. The reversal of 13471425432 is 23452417431.

13471425432 is a `hidden beast` number, since 1 + 3 + 4 + 71 + 42 + 543 + 2 = 666.

13471425432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13471425439) by changing a digit.

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, 356938 + ... + 392870.

It is an arithmetic number, because the mean of its divisors is an integer number (392399280).

Almost surely, 213471425432 is an apocalyptic number.

13471425432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13471425432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18835165440).

13471425432 is an abundant number, since it is smaller than the sum of its proper divisors (24198905448).

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

13471425432 is a wasteful number, since it uses less digits than its factorization.

13471425432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36113 (or 36106 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The spelling of 13471425432 in words is "thirteen billion, four hundred seventy-one million, four hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 127 164 246 254 328 369 381 492 508 738 762 984 1016 1143 1476 1524 2286 2952 3048 4572 5207 9144 10414 15621 20828 31242 35933 41656 46863 62484 71866 93726 107799 124968 143732 187452 215598 287464 323397 374904 431196 646794 862392 1293588 1473253 2587176 2946506 4419759 4563491 5893012 8839518 9126982 11786024 13259277 13690473 17679036 18253964 26518554 27380946 35358072 36507928 41071419 53037108 54761892 82142838 106074216 109523784 164285676 187103131 328571352 374206262 561309393 748412524 1122618786 1496825048 1683928179 2245237572 3367856358 4490475144 6735712716 13471425432