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12973739408 = 247253312229
BaseRepresentation
bin11000001010100101…
…11000110110010000
31020111011101020200222
430011102320312100
5203032234130113
65543212132212
7636333652100
oct140522706620
936434336628
1012973739408
115558379493
122620a67068
1312b9b08aa6
148b1091200
1550deb5e08
hex3054b8d90

12973739408 has 60 divisors (see below), whose sum is σ = 29792362140. Its totient is φ = 5455247616.

The previous prime is 12973739369. The next prime is 12973739437. The reversal of 12973739408 is 80493737921.

It can be written as a sum of positive squares in 2 ways, for example, as 8829985024 + 4143754384 = 93968^2 + 64372^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a self number, because there is not a number n which added to its sum of digits gives 12973739408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114563 + ... + 197666.

It is an arithmetic number, because the mean of its divisors is an integer number (496539369).

Almost surely, 212973739408 is an apocalyptic number.

It is an amenable number.

12973739408 is an abundant number, since it is smaller than the sum of its proper divisors (16818622732).

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

12973739408 is a wasteful number, since it uses less digits than its factorization.

12973739408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312304 (or 312291 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 53.

The spelling of 12973739408 in words is "twelve billion, nine hundred seventy-three million, seven hundred thirty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 742 784 848 1484 2597 2968 5194 5936 10388 20776 41552 312229 624458 1248916 2185603 2497832 4371206 4995664 8742412 15299221 16548137 17484824 30598442 33096274 34969648 61196884 66192548 115836959 122393768 132385096 231673918 244787536 264770192 463347836 810858713 926695672 1621717426 1853391344 3243434852 6486869704 12973739408