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1054827654816 = 253134120614987
BaseRepresentation
bin11110101100110001010…
…00001010111010100000
310201211200202022212112010
433112120220022322200
5114240241334423231
62124325305232520
7136131420062115
oct17263050127240
93654622285463
101054827654816
11377393791511
12150523792740
1378615273540
14390a7db490c
151c689d6c546
hexf598a0aea0

1054827654816 has 96 divisors (see below), whose sum is σ = 3054646461888. Its totient is φ = 316646184960.

The previous prime is 1054827654787. The next prime is 1054827654841. The reversal of 1054827654816 is 6184567284501.

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

It is a super-2 number, since 2×10548276548162 (a number of 25 digits) contains 22 as substring.

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, 10256326 + ... + 10358661.

It is an arithmetic number, because the mean of its divisors is an integer number (31819233978).

Almost surely, 21054827654816 is an apocalyptic number.

1054827654816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1054827654816 is an abundant number, since it is smaller than the sum of its proper divisors (1999818807072).

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

1054827654816 is a wasteful number, since it uses less digits than its factorization.

1054827654816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20615054 (or 20615046 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 1054827654816 in words is "one trillion, fifty-four billion, eight hundred twenty-seven million, six hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 78 82 96 104 123 156 164 208 246 312 328 416 492 533 624 656 984 1066 1248 1312 1599 1968 2132 3198 3936 4264 6396 8528 12792 17056 25584 51168 20614987 41229974 61844961 82459948 123689922 164919896 247379844 267994831 329839792 494759688 535989662 659679584 803984493 845214467 989519376 1071979324 1607968986 1690428934 1979038752 2143958648 2535643401 3215937972 3380857868 4287917296 5071286802 6431875944 6761715736 8575834592 10142573604 10987788071 12863751888 13523431472 20285147208 21975576142 25727503776 27046862944 32963364213 40570294416 43951152284 65926728426 81140588832 87902304568 131853456852 175804609136 263706913704 351609218272 527413827408 1054827654816