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12430743556 = 2272119975783
BaseRepresentation
bin10111001001110111…
…00001100000000100
31012002022122012102111
423210323201200010
5200424232243211
65413253550404
7620021401600
oct134473414004
935068565374
1012430743556
1152a9915690
1224ab045404
13123147b67a
1485cd06500
154cb4a8421
hex2e4ee1804

12430743556 has 72 divisors (see below), whose sum is σ = 27638404416. Its totient is φ = 4837452480.

The previous prime is 12430743527. The next prime is 12430743581. The reversal of 12430743556 is 65534703421.

It is a happy 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, 2146641 + ... + 2152423.

It is an arithmetic number, because the mean of its divisors is an integer number (383866728).

Almost surely, 212430743556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12430743556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819202208).

12430743556 is an abundant number, since it is smaller than the sum of its proper divisors (15207660860).

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

12430743556 is a wasteful number, since it uses less digits than its factorization.

12430743556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 12430743556 in words is "twelve billion, four hundred thirty million, seven hundred forty-three thousand, five hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 997 1078 1994 2156 3988 5783 6979 10967 11566 13958 21934 23132 27916 40481 43868 48853 63613 76769 80962 97706 127226 153538 161924 195412 254452 283367 307076 445291 537383 566734 890582 1074766 1133468 1781164 2149532 3117037 5765651 6234074 11531302 12468148 23062604 40359557 63422161 80719114 126844322 161438228 253688644 282516899 443955127 565033798 887910254 1130067596 1775820508 3107685889 6215371778 12430743556