Search a number
-
+
486741187728 = 243223163901613
BaseRepresentation
bin1110001010101000000…
…10010001110010010000
31201112100211102021002100
413011110002101302100
530433321221001403
61011334504520400
750110620555105
oct7052402216220
91645324367070
10486741187728
11178475790604
127a400780100
1336b9026c623
14197b6366aac
15c9dbb0b2a3
hex7154091c90

486741187728 has 120 divisors (see below), whose sum is σ = 1430147339712. Its totient is φ = 154240568064.

The previous prime is 486741187727. The next prime is 486741187729. The reversal of 486741187728 is 827781147684.

486741187728 is a `hidden beast` number, since 486 + 7 + 4 + 1 + 1 + 87 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (486741187727) and next prime (486741187729).

It is not an unprimeable number, because it can be changed into a prime (486741187727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89050 + ... + 990662.

Almost surely, 2486741187728 is an apocalyptic number.

486741187728 is a gapful number since it is divisible by the number (48) 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 486741187728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715073669856).

486741187728 is an abundant number, since it is smaller than the sum of its proper divisors (943406151984).

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

486741187728 is a wasteful number, since it uses less digits than its factorization.

486741187728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901813 (or 901804 counting only the distinct ones).

The product of its digits is 33718272, while the sum is 63.

The spelling of 486741187728 in words is "four hundred eighty-six billion, seven hundred forty-one million, one hundred eighty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 163 184 207 276 326 368 414 489 552 652 828 978 1104 1304 1467 1656 1956 2608 2934 3312 3749 3912 5868 7498 7824 11247 11736 14996 22494 23472 29992 33741 44988 59984 67482 89976 134964 179952 269928 539856 901613 1803226 2704839 3606452 5409678 7212904 8114517 10819356 14425808 16229034 20737099 21638712 32458068 41474198 43277424 62211297 64916136 82948396 124422594 129832272 146962919 165896792 186633891 248845188 293925838 331793584 373267782 440888757 497690376 587851676 746535564 881777514 995380752 1175703352 1322666271 1493071128 1763555028 2351406704 2645332542 2986142256 3380147137 3527110056 5290665084 6760294274 7054220112 10140441411 10581330168 13520588548 20280882822 21162660336 27041177096 30421324233 40561765644 54082354192 60842648466 81123531288 121685296932 162247062576 243370593864 486741187728