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47257522728 = 2331333724223
BaseRepresentation
bin101100000000110001…
…001001001000101000
311111222110100220001120
4230000301021020220
51233240411211403
633413152415240
73262041213123
oct540061111050
9144873326046
1047257522728
1119050704309
1291aa547520
1345c1833000
1424044013ba
151368c1de53
hexb00c49228

47257522728 has 128 divisors (see below), whose sum is σ = 131449113600. Its totient is φ = 14147198208.

The previous prime is 47257522717. The next prime is 47257522759. The reversal of 47257522728 is 82722575274.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1938825 + ... + 1963047.

It is an arithmetic number, because the mean of its divisors is an integer number (1026946200).

Almost surely, 247257522728 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 47257522728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65724556800).

47257522728 is an abundant number, since it is smaller than the sum of its proper divisors (84191590872).

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

47257522728 is a wasteful number, since it uses less digits than its factorization.

47257522728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24308 (or 24278 counting only the distinct ones).

The product of its digits is 4390400, while the sum is 51.

The spelling of 47257522728 in words is "forty-seven billion, two hundred fifty-seven million, five hundred twenty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 169 222 296 312 338 444 481 507 676 888 962 1014 1352 1443 1924 2028 2197 2886 3848 4056 4394 5772 6253 6591 8788 11544 12506 13182 17576 18759 24223 25012 26364 37518 48446 50024 52728 72669 75036 81289 96892 145338 150072 162578 193784 243867 290676 314899 325156 487734 581352 629798 650312 896251 944697 975468 1259596 1792502 1889394 1950936 2519192 2688753 3585004 3778788 4093687 5377506 7170008 7557576 8187374 10755012 11651263 12281061 16374748 21510024 23302526 24562122 32749496 34953789 46605052 49124244 53217931 69907578 93210104 98248488 106435862 139815156 151466419 159653793 212871724 279630312 302932838 319307586 425743448 454399257 605865676 638615172 908798514 1211731352 1277230344 1817597028 1969063447 3635194056 3938126894 5907190341 7876253788 11814380682 15752507576 23628761364 47257522728