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1387098210816 = 2933187153629
BaseRepresentation
bin10100001011110101011…
…111110000001000000000
311220121100020222222221000
4110023311133300020000
5140211234120221231
62541120224332000
7202133405153223
oct24136537601000
94817306888830
101387098210816
114952a08620aa
121a49b4474000
13a0a589a04a6
144b1c8d275ba
152613565c6e6
hex142f57f0200

1387098210816 has 160 divisors (see below), whose sum is σ = 4108178131200. Its totient is φ = 462110330880.

The previous prime is 1387098210811. The next prime is 1387098210889. The reversal of 1387098210816 is 6180128907831.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1387098210811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25837890 + ... + 25891518.

It is an arithmetic number, because the mean of its divisors is an integer number (25676113320).

Almost surely, 21387098210816 is an apocalyptic number.

1387098210816 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 1387098210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054089065600).

1387098210816 is an abundant number, since it is smaller than the sum of its proper divisors (2721079920384).

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

1387098210816 is an equidigital number, since it uses as much as digits as its factorization.

1387098210816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55527 (or 55505 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1387098210816 in words is "one trillion, three hundred eighty-seven billion, ninety-eight million, two hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 1871 2304 3456 3742 4608 5613 6912 7484 11226 13824 14968 16839 22452 29936 33678 44904 50517 53629 59872 67356 89808 101034 107258 119744 134712 160887 179616 202068 214516 239488 269424 321774 359232 404136 429032 478976 482661 538848 643548 718464 808272 858064 957952 965322 1077696 1287096 1436928 1447983 1616544 1716128 1930644 2155392 2574192 2873856 2895966 3233088 3432256 3861288 4310784 5148384 5791932 6466176 6864512 7722576 8621568 10296768 11583864 12932352 13729024 15445152 20593536 23167728 25864704 27458048 30890304 41187072 46335456 61780608 82374144 92670912 100339859 123561216 185341824 200679718 247122432 301019577 370683648 401359436 602039154 741367296 802718872 903058731 1204078308 1605437744 1806117462 2408156616 2709176193 3210875488 3612234924 4816313232 5418352386 6421750976 7224469848 9632626464 10836704772 12843501952 14448939696 19265252928 21673409544 25687003904 28897879392 38530505856 43346819088 51374007808 57795758784 77061011712 86693638176 115591517568 154122023424 173387276352 231183035136 346774552704 462366070272 693549105408 1387098210816