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12728240081616 = 243272719723577
BaseRepresentation
bin1011100100111000011000…
…1110101000101011010000
31200001210210221021021202010
42321032012032220223100
53132014413430102431
643023134530222520
72452404440405343
oct271160616505320
950053727237663
1012728240081616
11406801a779824
121516999a24a40
13714363726597
1432009b6ca45a
15171156364846
hexb93863a8ad0

12728240081616 has 40 divisors (see below), whose sum is σ = 32882495982784. Its totient is φ = 4242590680320.

The previous prime is 12728240081603. The next prime is 12728240081671. The reversal of 12728240081616 is 61618004282721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (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, 3552781 + ... + 6170796.

Almost surely, 212728240081616 is an apocalyptic number.

12728240081616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12728240081616 is an abundant number, since it is smaller than the sum of its proper divisors (20154255901168).

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

12728240081616 is a wasteful number, since it uses less digits than its factorization.

12728240081616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9750859 (or 9750853 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 12728240081616 in words is "twelve trillion, seven hundred twenty-eight billion, two hundred forty million, eighty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 27271 54542 81813 109084 163626 218168 327252 436336 654504 1309008 9723577 19447154 29170731 38894308 58341462 77788616 116682924 155577232 233365848 466731696 265171668367 530343336734 795515005101 1060686673468 1591030010202 2121373346936 3182060020404 4242746693872 6364120040808 12728240081616