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12354055680 = 29352955469
BaseRepresentation
bin10111000000101101…
…11110111000000000
31011212222100001102210
423200112332320000
5200300114240210
65401514142120
7615100512021
oct134026767000
934788301383
1012354055680
11526a5a697a
122489421940
13121b60aa25
14852a62c48
154c48aae20
hex2e05bee00

12354055680 has 160 divisors (see below), whose sum is σ = 40856983200. Its totient is φ = 3180756992.

The previous prime is 12354055579. The next prime is 12354055699. The reversal of 12354055680 is 8655045321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194986 + ... + 250454.

It is an arithmetic number, because the mean of its divisors is an integer number (255356145).

Almost surely, 212354055680 is an apocalyptic number.

12354055680 is a gapful number since it is divisible by the number (10) 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 12354055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20428491600).

12354055680 is an abundant number, since it is smaller than the sum of its proper divisors (28502927520).

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

12354055680 is an equidigital number, since it uses as much as digits as its factorization.

12354055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55524 (or 55508 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 12354055680 in words is "twelve billion, three hundred fifty-four million, fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1160 1280 1392 1536 1740 1856 1920 2320 2560 2784 3480 3712 3840 4640 5568 6960 7424 7680 9280 11136 13920 14848 18560 22272 27840 37120 44544 55469 55680 74240 110938 111360 166407 221876 222720 277345 332814 443752 554690 665628 832035 887504 1109380 1331256 1608601 1664070 1775008 2218760 2662512 3217202 3328140 3550016 4437520 4825803 5325024 6434404 6656280 7100032 8043005 8875040 9651606 10650048 12868808 13312560 14200064 16086010 17750080 19303212 21300096 24129015 25737616 26625120 28400128 32172020 35500160 38606424 42600192 48258030 51475232 53250240 64344040 71000320 77212848 85200384 96516060 102950464 106500480 128688080 142000640 154425696 193032120 205900928 213000960 257376160 308851392 386064240 411801856 426001920 514752320 617702784 772128480 823603712 1029504640 1235405568 1544256960 2059009280 2470811136 3088513920 4118018560 6177027840 12354055680