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47587344380368 = 2413475743847601
BaseRepresentation
bin10101101000111110010101…
…10000011111000111010000
320020111022020211221221202221
422310133022300133013100
522214132340130132433
6245113154010150424
713011033520134562
oct1264371260370720
9206438224857687
1047587344380368
1114187752337631
1254068b5422414
13207260c917c60
14ba734dc73332
15577cc91b072d
hex2b47cac1f1d0

47587344380368 has 80 divisors (see below), whose sum is σ = 101423214498816. Its totient is φ = 21492315187200.

The previous prime is 47587344380353. The next prime is 47587344380377. The reversal of 47587344380368 is 86308344378574.

47587344380368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47587344380297 and 47587344380306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55719768 + ... + 56567368.

Almost surely, 247587344380368 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 47587344380368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50711607249408).

47587344380368 is an abundant number, since it is smaller than the sum of its proper divisors (53835870118448).

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

47587344380368 is a wasteful number, since it uses less digits than its factorization.

47587344380368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853412 (or 853406 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 70.

The spelling of 47587344380368 in words is "forty-seven trillion, five hundred eighty-seven billion, three hundred forty-four million, three hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 1222 2444 4888 5743 9776 11486 22972 45944 74659 91888 149318 269921 298636 539842 597272 847601 1079684 1194544 1695202 2159368 3390404 3508973 4318736 6780808 7017946 11018813 13561616 14035892 22037626 28071784 39837247 44075252 56143568 79674494 88150504 159348988 176301008 318697976 517884211 637395952 1035768422 2071536844 4143073688 4867772543 8286147376 9735545086 19471090172 38942180344 63281043059 77884360688 126562086118 228785309521 253124172236 457570619042 506248344472 915141238084 1012496688944 1830282476168 2974209023773 3660564952336 5948418047546 11896836095092 23793672190184 47587344380368