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12283909703680 = 211510529113933
BaseRepresentation
bin1011001011000001001000…
…0100110000100000000000
31121111022220210021101110211
42302300102010300200000
53102224421341004210
642043052240203504
72405324506456066
oct262602204604000
947438823241424
1012283909703680
113a0663887234a
121464854609594
136b14a1b3b4a4
14306789ba6036
151647ecbee38a
hexb2c12130800

12283909703680 has 96 divisors (see below), whose sum is σ = 29477243741400. Its totient is φ = 4913054089216.

The previous prime is 12283909703657. The next prime is 12283909703711. The reversal of 12283909703680 is 8630790938221.

It can be written as a sum of positive squares in 4 ways, for example, as 11804336833536 + 479572870144 = 3435744^2 + 692512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107759994 + ... + 107873926.

Almost surely, 212283909703680 is an apocalyptic number.

12283909703680 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 12283909703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738621870700).

12283909703680 is an abundant number, since it is smaller than the sum of its proper divisors (17193334037720).

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

12283909703680 is a wasteful number, since it uses less digits than its factorization.

12283909703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124489 (or 124469 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 12283909703680 in words is "twelve trillion, two hundred eighty-three billion, nine hundred nine million, seven hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 10529 21058 42116 52645 84232 105290 113933 168464 210580 227866 336928 421160 455732 569665 673856 842320 911464 1139330 1347712 1684640 1822928 2278660 2695424 3369280 3645856 4557320 5390848 6738560 7291712 9114640 10781696 13477120 14583424 18229280 21563392 26954240 29166848 36458560 53908480 58333696 72917120 107816960 116667392 145834240 233334784 291668480 583336960 1166673920 1199600557 2399201114 4798402228 5998002785 9596804456 11996005570 19193608912 23992011140 38387217824 47984022280 76774435648 95968044560 153548871296 191936089120 307097742592 383872178240 614195485184 767744356480 1228390970368 1535488712960 2456781940736 3070977425920 6141954851840 12283909703680