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12453385440 = 253531183423
BaseRepresentation
bin10111001100100011…
…11001010011100000
31012010220020112020210
423212101321103200
5201001031313230
65415423134120
7620415013116
oct134621712340
935126215223
1012453385440
11531067a891
1224b6744340
131236078432
14861d1bab6
154cd47beb0
hex2e64794e0

12453385440 has 96 divisors (see below), whose sum is σ = 39354771456. Its totient is φ = 3310184960.

The previous prime is 12453385429. The next prime is 12453385459. The reversal of 12453385440 is 4458335421.

It is a tau number, because it is divible by the number of its divisors (96).

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, 107569 + ... + 190991.

It is an arithmetic number, because the mean of its divisors is an integer number (409945536).

Almost surely, 212453385440 is an apocalyptic number.

12453385440 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 12453385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677385728).

12453385440 is an abundant number, since it is smaller than the sum of its proper divisors (26901386016).

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

12453385440 is a wasteful number, since it uses less digits than its factorization.

12453385440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83752 (or 83744 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 12453385440 in words is "twelve billion, four hundred fifty-three million, three hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 311 480 622 933 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 9952 12440 14928 18660 24880 29856 37320 49760 74640 83423 149280 166846 250269 333692 417115 500538 667384 834230 1001076 1251345 1334768 1668460 2002152 2502690 2669536 3336920 4004304 5005380 6673840 8008608 10010760 13347680 20021520 25944553 40043040 51889106 77833659 103778212 129722765 155667318 207556424 259445530 311334636 389168295 415112848 518891060 622669272 778336590 830225696 1037782120 1245338544 1556673180 2075564240 2490677088 3113346360 4151128480 6226692720 12453385440