Search a number
-
+
507101334136 = 23476919372083
BaseRepresentation
bin1110110000100011001…
…10000100101001111000
31210110220202121212022221
413120101212010221320
531302020420143021
61024543101253424
751431305135405
oct7302146045170
91713822555287
10507101334136
11186073534991
1282343264274
1338a86443837
141a7883db2ac
15d2ce2b7241
hex7611984a78

507101334136 has 64 divisors (see below), whose sum is σ = 973955566080. Its totient is φ = 247413553920.

The previous prime is 507101334127. The next prime is 507101334151. The reversal of 507101334136 is 631433101705.

It is a super-2 number, since 2×5071013341362 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243446551 + ... + 243448633.

It is an arithmetic number, because the mean of its divisors is an integer number (15218055720).

Almost surely, 2507101334136 is an apocalyptic number.

It is an amenable number.

507101334136 is a deficient number, since it is larger than the sum of its proper divisors (466854231944).

507101334136 is a wasteful number, since it uses less digits than its factorization.

507101334136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 507101334136 in words is "five hundred seven billion, one hundred one million, three hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 47 94 188 376 691 937 1382 1874 2083 2764 3748 4166 5528 7496 8332 16664 32477 44039 64954 88078 97901 129908 176156 195802 259816 352312 391604 647467 783208 1294934 1439353 1951771 2589868 2878706 3903542 5179736 5757412 7807084 11514824 15614168 30430949 60861898 67649591 91733237 121723796 135299182 183466474 243447592 270598364 366932948 541196728 733865896 1348673761 2697347522 5394695044 10789390088 63387666767 126775333534 253550667068 507101334136