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404980663680 = 273457812127
BaseRepresentation
bin1011110010010101011…
…10101000010110000000
31102201022210120022010000
411321022232220112000
523113400022214210
6510013501040000
741154540562245
oct5711256502600
91381283508100
10404980663680
1114682a03277a
12665a3256000
132c260489908
141585b86d5cc
15a803cd0ac0
hex5e4aba8580

404980663680 has 160 divisors (see below), whose sum is σ = 1446259256640. Its totient is φ = 107994829824.

The previous prime is 404980663673. The next prime is 404980663693. The reversal of 404980663680 is 86366089404.

404980663680 is a `hidden beast` number, since 40 + 498 + 0 + 6 + 6 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×4049806636802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3854224 + ... + 3957903.

It is an arithmetic number, because the mean of its divisors is an integer number (9039120354).

Almost surely, 2404980663680 is an apocalyptic number.

404980663680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404980663680 is an abundant number, since it is smaller than the sum of its proper divisors (1041278592960).

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

404980663680 is an equidigital number, since it uses as much as digits as its factorization.

404980663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7812158 (or 7812137 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 404980663680 in words is "four hundred four billion, nine hundred eighty million, six hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 7812127 15624254 23436381 31248508 39060635 46872762 62497016 70309143 78121270 93745524 117181905 124994032 140618286 156242540 187491048 210927429 234363810 249988064 281236572 312485080 351545715 374982096 421854858 468727620 499976128 562473144 624970160 632782287 703091430 749964192 843709716 937455240 999952256 1054637145 1124946288 1249940320 1265564574 1406182860 1499928384 1687419432 1874910480 2109274290 2249892576 2499880640 2531129148 2812365720 2999856768 3163911435 3374838864 3749820960 4218548580 4499785152 4999761280 5062258296 5624731440 6327822870 6749677728 7499641920 8437097160 8999570304 10124516592 11249462880 12655645740 13499355456 14999283840 16874194320 20249033184 22498925760 25311291480 26998710912 33748388640 40498066368 44997851520 50622582960 67496777280 80996132736 101245165920 134993554560 202490331840 404980663680