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30625056006000 = 2435329176006069
BaseRepresentation
bin1101111011010011100111…
…00101011001111101110000
311000102201121210211210120120
412331221303211121331300
513003230103314143000
6145044542334410240
76310405302646341
oct675516345317560
9130381553753516
1030625056006000
1198380167a3825
123527411360980
131411c130b1cc1
1477c3911d60c8
153819646cd6a0
hex1bda73959f70

30625056006000 has 160 divisors (see below), whose sum is σ = 102139842542400. Its totient is φ = 7885071846400.

The previous prime is 30625056005899. The next prime is 30625056006059. The reversal of 30625056006000 is 60065052603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87829035 + ... + 88177034.

It is an arithmetic number, because the mean of its divisors is an integer number (638374015890).

Almost surely, 230625056006000 is an apocalyptic number.

30625056006000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30625056006000 is an abundant number, since it is smaller than the sum of its proper divisors (71514786536400).

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

30625056006000 is a wasteful number, since it uses less digits than its factorization.

30625056006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176006124 (or 176006108 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 30625056006000 in words is "thirty trillion, six hundred twenty-five billion, fifty-six million, six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 125 145 150 174 200 232 240 250 290 300 348 375 400 435 464 500 580 600 696 725 750 870 1000 1160 1200 1392 1450 1500 1740 2000 2175 2320 2900 3000 3480 3625 4350 5800 6000 6960 7250 8700 10875 11600 14500 17400 21750 29000 34800 43500 58000 87000 174000 176006069 352012138 528018207 704024276 880030345 1056036414 1408048552 1760060690 2112072828 2640091035 2816097104 3520121380 4224145656 4400151725 5104176001 5280182070 7040242760 8448291312 8800303450 10208352002 10560364140 13200455175 14080485520 15312528003 17600606900 20416704004 21120728280 22000758625 25520880005 26400910350 30625056006 35201213800 40833408008 42241456560 44001517250 51041760010 52801820700 61250112012 66002275875 70402427600 76562640015 81666816016 88003034500 102083520020 105603641400 122500224024 127604400025 132004551750 153125280030 176006069000 204167040040 211207282800 245000448048 255208800050 264009103500 306250560060 352012138000 382813200075 408334080080 510417600100 528018207000 612501120120 638022000125 765626400150 1020835200200 1056036414000 1225002240240 1276044000250 1531252800300 1914066000375 2041670400400 2552088000500 3062505600600 3828132000750 5104176001000 6125011201200 7656264001500 10208352002000 15312528003000 30625056006000