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1386659723136 = 27317797266521
BaseRepresentation
bin10100001011011011010…
…111000011011110000000
311220120012200220111220120
4110023123113003132000
5140204334342120021
62541004522140240
7202116502112412
oct24133327033600
94816180814816
101386659723136
11495096299896
121a48b1651680
13a09b8ba481c
144b1869c49b2
152610bde52c6
hex142db5c3780

1386659723136 has 128 divisors (see below), whose sum is σ = 3904888448160. Its totient is φ = 434483036160.

The previous prime is 1386659723107. The next prime is 1386659723143. The reversal of 1386659723136 is 6313279566831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1386659723136.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5069556 + ... + 5336076.

Almost surely, 21386659723136 is an apocalyptic number.

1386659723136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1386659723136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952444224080).

1386659723136 is an abundant number, since it is smaller than the sum of its proper divisors (2518228725024).

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

1386659723136 is a wasteful number, since it uses less digits than its factorization.

1386659723136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267352 (or 267340 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 60.

The spelling of 1386659723136 in words is "one trillion, three hundred eighty-six billion, six hundred fifty-nine million, seven hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 797 816 1088 1594 1632 2176 2391 3188 3264 4782 6376 6528 9564 12752 13549 19128 25504 27098 38256 40647 51008 54196 76512 81294 102016 108392 153024 162588 216784 266521 306048 325176 433568 533042 650352 799563 867136 1066084 1300704 1599126 1734272 2132168 2601408 3198252 4264336 4530857 5202816 6396504 8528672 9061714 12793008 13592571 17057344 18123428 25586016 27185142 34114688 36246856 51172032 54370284 72493712 102344064 108740568 144987424 212417237 217481136 289974848 424834474 434962272 579949696 637251711 849668948 869924544 1274503422 1699337896 1739849088 2549006844 3398675792 3611093029 5098013688 6797351584 7222186058 10196027376 10833279087 13594703168 14444372116 20392054752 21666558174 27189406336 28888744232 40784109504 43333116348 57777488464 81568219008 86666232696 115554976928 173332465392 231109953856 346664930784 462219907712 693329861568 1386659723136