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1378392414816 = 253233131994479
BaseRepresentation
bin10100000011101110100…
…101110001101001100000
311212202212112111201221010
4110003232211301221200
5140040421424233231
62533120313100520
7201404564131614
oct24035645615140
94782775451833
101378392414816
1149163364677a
121a31849b7740
139cc9c16bb01
144aa00a17344
1525cc61e7546
hex140ee971a60

1378392414816 has 96 divisors (see below), whose sum is σ = 3787661122560. Its totient is φ = 438083103744.

The previous prime is 1378392414811. The next prime is 1378392414823. The reversal of 1378392414816 is 6184142938731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378392414811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306136 + ... + 1688343.

It is an arithmetic number, because the mean of its divisors is an integer number (39454803360).

Almost surely, 21378392414816 is an apocalyptic number.

1378392414816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1378392414816 is an abundant number, since it is smaller than the sum of its proper divisors (2409268707744).

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

1378392414816 is a wasteful number, since it uses less digits than its factorization.

1378392414816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994828 (or 1994820 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The spelling of 1378392414816 in words is "one trillion, three hundred seventy-eight billion, three hundred ninety-two million, four hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 313 368 552 626 736 939 1104 1252 1878 2208 2504 3756 5008 7199 7512 10016 14398 15024 21597 28796 30048 43194 57592 86388 115184 172776 230368 345552 691104 1994479 3988958 5983437 7977916 11966874 15955832 23933748 31911664 45873017 47867496 63823328 91746034 95734992 137619051 183492068 191469984 275238102 366984136 550476204 624271927 733968272 1100952408 1248543854 1467936544 1872815781 2201904816 2497087708 3745631562 4403809632 4994175416 7491263124 9988350832 14358254321 14982526248 19976701664 28716508642 29965052496 43074762963 57433017284 59930104992 86149525926 114866034568 172299051852 229732069136 344598103704 459464138272 689196207408 1378392414816