Search a number
-
+
47397251088 = 2435111108241
BaseRepresentation
bin101100001001000110…
…001010100000010000
311112100012021211100000
4230021012022200100
51234032144013323
633435103330000
73265355662335
oct541106124020
9145305254300
1047397251088
11191125702a0
1292292b0900
134614776805
142418bb498c
15137611ee43
hexb0918a810

47397251088 has 120 divisors (see below), whose sum is σ = 150064832736. Its totient is φ = 14362790400.

The previous prime is 47397251063. The next prime is 47397251093. The reversal of 47397251088 is 88015279374.

It is a happy number.

47397251088 is a `hidden beast` number, since 47 + 3 + 9 + 7 + 2 + 510 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 511353 + ... + 596888.

Almost surely, 247397251088 is an apocalyptic number.

47397251088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47397251088 is an abundant number, since it is smaller than the sum of its proper divisors (102667581648).

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

47397251088 is a wasteful number, since it uses less digits than its factorization.

47397251088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108275 (or 1108257 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 47397251088 in words is "forty-seven billion, three hundred ninety-seven million, two hundred fifty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4752 5346 7128 10692 14256 21384 42768 1108241 2216482 3324723 4432964 6649446 8865928 9974169 12190651 13298892 17731856 19948338 24381302 26597784 29922507 36571953 39896676 48762604 53195568 59845014 73143906 79793352 89767521 97525208 109715859 119690028 146287812 159586704 179535042 195050416 219431718 239380056 269302563 292575624 329147577 359070084 438863436 478760112 538605126 585151248 658295154 718140168 877726872 987442731 1077210252 1316590308 1436280336 1755453744 1974885462 2154420504 2633180616 2962328193 3949770924 4308841008 5266361232 5924656386 7899541848 11849312772 15799083696 23698625544 47397251088