Search a number
-
+
506771340350 = 2521119928316361
BaseRepresentation
bin1110101111111011110…
…11001111110000111110
31210110001202200102221212
413113331323033300332
531300331430342400
61024450232324422
751420160214402
oct7277573176076
91713052612855
10506771340350
11185a14234750
1282270843712
1338a32c73842
141a75665b102
15d2b0331335
hex75fdecfc3e

506771340350 has 96 divisors (see below), whose sum is σ = 1037167545600. Its totient is φ = 182695392000.

The previous prime is 506771340343. The next prime is 506771340379. The reversal of 506771340350 is 53043177605.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 506771340298 and 506771340307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30966170 + ... + 30982530.

It is an arithmetic number, because the mean of its divisors is an integer number (10803828600).

Almost surely, 2506771340350 is an apocalyptic number.

506771340350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506771340350 is an abundant number, since it is smaller than the sum of its proper divisors (530396205250).

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

506771340350 is a wasteful number, since it uses less digits than its factorization.

506771340350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16866 (or 16861 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 41.

The spelling of 506771340350 in words is "five hundred six billion, seven hundred seventy-one million, three hundred forty thousand, three hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 199 275 283 398 550 566 995 1415 1990 2189 2830 3113 4378 4975 6226 7075 9950 10945 14150 15565 16361 21890 31130 32722 54725 56317 77825 81805 109450 112634 155650 163610 179971 281585 359942 409025 563170 619487 818050 899855 1238974 1407925 1799710 2815850 3097435 3255839 4499275 4630163 6194870 6511678 8998550 9260326 15487175 16279195 23150815 30974350 32558390 35814229 46301630 50931793 71628458 81395975 101863586 115754075 162791950 179071145 231508150 254658965 358142290 509317930 895355725 921402437 1273294825 1790711450 1842804874 2546589650 4607012185 9214024370 10135426807 20270853614 23035060925 46070121850 50677134035 101354268070 253385670175 506771340350