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61324387632 = 2433439323359
BaseRepresentation
bin111001000111001101…
…111110010100110000
312212021210122200001000
4321013031332110300
52001043020401012
644101054242000
74300450460064
oct710715762460
9185253580030
1061324387632
112400a0220a2
12ba754b6300
135a23c53701
142d7a721aa4
1518ddb5dddc
hexe4737e530

61324387632 has 80 divisors (see below), whose sum is σ = 176425216000. Its totient is φ = 20394835776.

The previous prime is 61324387603. The next prime is 61324387633. The reversal of 61324387632 is 23678342316.

61324387632 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 4 + 3 + 8 + 7 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (61324387633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27969 + ... + 351327.

It is an arithmetic number, because the mean of its divisors is an integer number (2205315200).

Almost surely, 261324387632 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 61324387632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88212608000).

61324387632 is an abundant number, since it is smaller than the sum of its proper divisors (115100828368).

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

61324387632 is a wasteful number, since it uses less digits than its factorization.

61324387632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323815 (or 323803 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 61324387632 in words is "sixty-one billion, three hundred twenty-four million, three hundred eighty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 439 878 1317 1756 2634 3512 3951 5268 7024 7902 10536 11853 15804 21072 23706 31608 47412 63216 94824 189648 323359 646718 970077 1293436 1940154 2586872 2910231 3880308 5173744 5820462 7760616 8730693 11640924 15521232 17461386 23281848 34922772 46563696 69845544 139691088 141954601 283909202 425863803 567818404 851727606 1135636808 1277591409 1703455212 2271273616 2555182818 3406910424 3832774227 5110365636 6813820848 7665548454 10220731272 15331096908 20441462544 30662193816 61324387632