Search a number
-
+
395016052716 = 22321919710912687
BaseRepresentation
bin1011011111110001100…
…10101001111111101100
31101202121100101121121200
411233320302221333230
522432443102141331
6501245020525500
740352603022315
oct5577062517754
91352540347550
10395016052716
11142586299aaa
12646820b0890
132b332c102cc
14151942bd60c
15a41e0b35e6
hex5bf8ca9fec

395016052716 has 144 divisors (see below), whose sum is σ = 1057763266560. Its totient is φ = 123948800640.

The previous prime is 395016052693. The next prime is 395016052723. The reversal of 395016052716 is 617250610593.

395016052716 is a `hidden beast` number, since 3 + 9 + 5 + 0 + 1 + 605 + 27 + 16 = 666.

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, 147008725 + ... + 147011411.

It is an arithmetic number, because the mean of its divisors is an integer number (7345578240).

Almost surely, 2395016052716 is an apocalyptic number.

395016052716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395016052716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528881633280).

395016052716 is an abundant number, since it is smaller than the sum of its proper divisors (662747213844).

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

395016052716 is a wasteful number, since it uses less digits than its factorization.

395016052716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 395016052716 in words is "three hundred ninety-five billion, sixteen million, fifty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 197 228 342 394 591 684 788 1091 1182 1773 2182 2364 2687 3273 3546 3743 4364 5374 6546 7092 7486 8061 9819 10748 11229 13092 14972 16122 19638 20729 22458 24183 32244 33687 39276 41458 44916 48366 51053 62187 67374 82916 96732 102106 124374 134748 153159 186561 204212 214927 248748 306318 373122 429854 459477 529339 612636 644781 746244 859708 918954 1058678 1289562 1588017 1837908 1934343 2117356 2579124 2931517 3176034 3868686 4083613 4764051 5863034 6352068 7737372 8167226 8794551 9528102 10057441 11726068 12250839 16334452 17589102 19056204 20114882 24501678 26383653 30172323 35178204 36752517 40229764 49003356 52767306 55698823 60344646 73505034 90516969 105534612 111397646 120689292 147010068 167096469 181033938 222795292 334192938 362067876 501289407 577508849 668385876 1002578814 1155017698 1732526547 2005157628 2310035396 3465053094 5197579641 6930106188 10395159282 10972668131 20790318564 21945336262 32918004393 43890672524 65836008786 98754013179 131672017572 197508026358 395016052716