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12541461216 = 253400732603
BaseRepresentation
bin10111010111000011…
…11000001011100000
31012101000222020111120
423223201320023200
5201141103224331
65432251012240
7622534442604
oct135341701340
935330866446
1012541461216
115356367489
12252013a080
13124b3a558b
1486d8c7504
154d6078796
hex2eb8782e0

12541461216 has 48 divisors (see below), whose sum is σ = 32930561664. Its totient is φ = 4179315584.

The previous prime is 12541461209. The next prime is 12541461293. The reversal of 12541461216 is 61216414521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 368371 + ... + 400973.

It is an arithmetic number, because the mean of its divisors is an integer number (686053368).

Almost surely, 212541461216 is an apocalyptic number.

12541461216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12541461216 is an abundant number, since it is smaller than the sum of its proper divisors (20389100448).

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

12541461216 is a wasteful number, since it uses less digits than its factorization.

12541461216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36623 (or 36615 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

Adding to 12541461216 its reverse (61216414521), we get a palindrome (73757875737).

The spelling of 12541461216 in words is "twelve billion, five hundred forty-one million, four hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4007 8014 12021 16028 24042 32056 32603 48084 64112 65206 96168 97809 128224 130412 192336 195618 260824 384672 391236 521648 782472 1043296 1564944 3129888 130640221 261280442 391920663 522560884 783841326 1045121768 1567682652 2090243536 3135365304 4180487072 6270730608 12541461216