Search a number
-
+
47934359145 = 3351789331709
BaseRepresentation
bin101100101001000111…
…000100011001101001
311120201121221202002000
4230221013010121221
51241132143443040
634004251401213
73314600221131
oct545107043151
9146647852060
1047934359145
1119368772552
129359153209
13469bb2202a
14246a269ac1
1513a8368130
hexb291c4669

47934359145 has 128 divisors (see below), whose sum is σ = 91647936000. Its totient is φ = 23685488640.

The previous prime is 47934359141. The next prime is 47934359189. The reversal of 47934359145 is 54195343974.

47934359145 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 4 + 3 + 591 + 45 = 666.

It is not a de Polignac number, because 47934359145 - 22 = 47934359141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47934359091 and 47934359100.

It is not an unprimeable number, because it can be changed into a prime (47934359141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67608051 + ... + 67608759.

It is an arithmetic number, because the mean of its divisors is an integer number (715999500).

Almost surely, 247934359145 is an apocalyptic number.

47934359145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47934359145 is a deficient number, since it is larger than the sum of its proper divisors (43713576855).

47934359145 is a wasteful number, since it uses less digits than its factorization.

47934359145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 47934359145 in words is "forty-seven billion, nine hundred thirty-four million, three hundred fifty-nine thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 89 135 153 255 267 331 445 459 709 765 801 993 1335 1513 1655 2127 2295 2403 2979 3545 4005 4539 4965 5627 6381 7565 8937 10635 12015 12053 13617 14895 16881 19143 22695 28135 29459 31905 36159 40851 44685 50643 60265 63101 68085 84405 88377 95715 108477 147295 151929 180795 189303 204255 234679 253215 265131 315505 325431 441885 500803 542385 567909 704037 759645 795393 946515 1072717 1173395 1325655 1502409 1627155 1703727 2112111 2504015 2839545 3218151 3520185 3976965 3989543 4507227 5363585 6336333 7512045 8518635 9654453 10560555 11968629 13521681 16090755 19947715 20886431 22536135 28963359 31681665 35905887 48272265 59843145 62659293 67608405 104432155 107717661 144816795 179529435 187977879 313296465 355069327 538588305 563933637 939889395 1065207981 1775346635 2819668185 3195623943 5326039905 9586871829 15978119715 47934359145