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11721296256480 = 2532525731672331
BaseRepresentation
bin1010101010010001001110…
…1100110001110111100000
31112111112201021210222220100
42222210103230301313200
53014020203320201410
640532404505342400
72316556435203216
oct252442354616740
945445637728810
1011721296256480
113809a79188278
1213937ba497a00
1367040c992995
142c7456d8acb6
15154d701cd8c0
hexaa913b31de0

11721296256480 has 144 divisors (see below), whose sum is σ = 40154562577584. Its totient is φ = 3113516728320.

The previous prime is 11721296256451. The next prime is 11721296256503. The reversal of 11721296256480 is 8465269212711.

11721296256480 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 1 + 2 + 9 + 625 + 6 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15466086 + ... + 16206245.

It is an arithmetic number, because the mean of its divisors is an integer number (278851129011).

Almost surely, 211721296256480 is an apocalyptic number.

11721296256480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11721296256480 is an abundant number, since it is smaller than the sum of its proper divisors (28433266321104).

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

11721296256480 is a wasteful number, since it uses less digits than its factorization.

11721296256480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31672609 (or 31672598 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 11721296256480 in words is "eleven trillion, seven hundred twenty-one billion, two hundred ninety-six million, two hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 257 288 360 480 514 720 771 1028 1285 1440 1542 2056 2313 2570 3084 3855 4112 4626 5140 6168 7710 8224 9252 10280 11565 12336 15420 18504 20560 23130 24672 30840 37008 41120 46260 61680 74016 92520 123360 185040 370080 31672331 63344662 95016993 126689324 158361655 190033986 253378648 285050979 316723310 380067972 475084965 506757296 570101958 633446620 760135944 950169930 1013514592 1140203916 1266893240 1425254895 1520271888 1900339860 2280407832 2533786480 2850509790 3040543776 3800679720 4560815664 5067572960 5701019580 7601359440 8139789067 9121631328 11402039160 15202718880 16279578134 22804078320 24419367201 32559156268 40698945335 45608156640 48838734402 65118312536 73258101603 81397890670 97677468804 122096836005 130236625072 146516203206 162795781340 195354937608 244193672010 260473250144 293032406412 325591562680 366290508015 390709875216 488387344020 586064812824 651183125360 732581016030 781419750432 976774688040 1172129625648 1302366250720 1465162032060 1953549376080 2344259251296 2930324064120 3907098752160 5860648128240 11721296256480