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1387638264376 = 237132421134819
BaseRepresentation
bin10100001100010101101…
…011111001001000111000
311220122201220012120010201
4110030111223321020320
5140213340343430001
62541245555451544
7202152653430340
oct24142553711070
94818656176121
101387638264376
11495548696361
121a4b252b6bb4
13a0b1383a600
144b23a947d20
1526167c88501
hex14315af9238

1387638264376 has 96 divisors (see below), whose sum is σ = 3220694006400. Its totient is φ = 548809672320.

The previous prime is 1387638264347. The next prime is 1387638264379. The reversal of 1387638264376 is 6734628367831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387638264379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39835495 + ... + 39870313.

It is an arithmetic number, because the mean of its divisors is an integer number (33548895900).

Almost surely, 21387638264376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387638264376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610347003200).

1387638264376 is an abundant number, since it is smaller than the sum of its proper divisors (1833055742024).

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

1387638264376 is a wasteful number, since it uses less digits than its factorization.

1387638264376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39069 (or 39052 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 64.

The spelling of 1387638264376 in words is "one trillion, three hundred eighty-seven billion, six hundred thirty-eight million, two hundred sixty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4211 4732 8422 9464 16844 29477 33688 34819 54743 58954 69638 109486 117908 139276 218972 235816 243733 278552 383201 437944 452647 487466 711659 766402 905294 974932 1423318 1532804 1810588 1949864 2846636 3065608 3168529 3621176 4981613 5693272 5884411 6337058 9963226 11768822 12674116 19926452 23537644 25348232 39852904 41190877 47075288 82381754 146622809 164763508 293245618 329527016 586491236 1026359663 1172982472 1906096517 2052719326 3812193034 4105438652 7624386068 8210877304 13342675619 15248772136 24779254721 26685351238 49558509442 53370702476 99117018884 106741404952 173454783047 198234037768 346909566094 693819132188 1387638264376