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485820402016800 = 253521573312866279
BaseRepresentation
bin110111001110110011110000…
…0011111001010001000100000
32100201010222101010100211210110
41232131213200133022020200
51002134140140404014200
64441130451150331320
7204221236311645534
oct15635474037121040
92321128333324713
10485820402016800
111308853036991a4
12465a32b97b9b40
1317b1088a194a86
1487d7b9375dbc4
153b27484757b50
hex1b9d9e07ca220

485820402016800 has 144 divisors (see below), whose sum is σ = 1581446042850240. Its totient is φ = 129543862717440.

The previous prime is 485820402016783. The next prime is 485820402016823. The reversal of 485820402016800 is 8610204028584.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 485820402016800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31326061 + ... + 44192339.

It is an arithmetic number, because the mean of its divisors is an integer number (10982264186460).

Almost surely, 2485820402016800 is an apocalyptic number.

485820402016800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

485820402016800 is an abundant number, since it is smaller than the sum of its proper divisors (1095625640833440).

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

485820402016800 is a wasteful number, since it uses less digits than its factorization.

485820402016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12882035 (or 12882022 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 485820402016800 in words is "four hundred eighty-five trillion, eight hundred twenty billion, four hundred two million, sixteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 15733 31466 47199 62932 78665 94398 125864 157330 188796 235995 251728 314660 377592 393325 471990 503456 629320 755184 786650 943980 1179975 1258640 1510368 1573300 1887960 2359950 2517280 3146600 3775920 4719900 6293200 7551840 9439800 12586400 12866279 18879600 25732558 37759200 38598837 51465116 64331395 77197674 102930232 128662790 154395348 192994185 205860464 257325580 308790696 321656975 385988370 411720928 514651160 617581392 643313950 771976740 964970925 1029302320 1235162784 1286627900 1543953480 1929941850 2058604640 2573255800 3087906960 3859883700 5146511600 6175813920 7719767400 10293023200 15439534800 30879069600 202425167507 404850335014 607275502521 809700670028 1012125837535 1214551005042 1619401340056 2024251675070 2429102010084 3036377512605 3238802680112 4048503350140 4858204020168 5060629187675 6072755025210 6477605360224 8097006700280 9716408040336 10121258375350 12145510050420 15181887563025 16194013400560 19432816080672 20242516750700 24291020100840 30363775126050 32388026801120 40485033501400 48582040201680 60727550252100 80970067002800 97164080403360 121455100504200 161940134005600 242910201008400 485820402016800