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1868870016 = 27331341597
BaseRepresentation
bin110111101100100…
…1011000110000000
311211020121102201000
41233121023012000
512311412320031
6505240212000
764212063426
oct15731130600
94736542630
101868870016
11879a23782
12441a6a000
1323a254460
1413a2c3116
15ae10e3e6
hex6f64b180

1868870016 has 128 divisors (see below), whose sum is σ = 5940194400. Its totient is φ = 575023104.

The previous prime is 1868870011. The next prime is 1868870033. The reversal of 1868870016 is 6100788681.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868870011) 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, 24130 + ... + 65726.

Almost surely, 21868870016 is an apocalyptic number.

1868870016 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 1868870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970097200).

1868870016 is an abundant number, since it is smaller than the sum of its proper divisors (4071324384).

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

1868870016 is a wasteful number, since it uses less digits than its factorization.

1868870016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41633 (or 41615 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1868870016 is about 43230.4292830872. The cubic root of 1868870016 is about 1231.7607620018.

The spelling of 1868870016 in words is "one billion, eight hundred sixty-eight million, eight hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 41597 44928 83194 124791 166388 249582 332776 374373 499164 540761 665552 748746 998328 1081522 1123119 1331104 1497492 1622283 1996656 2163044 2246238 2662208 2994984 3244566 3993312 4326088 4492476 4866849 5324416 5989968 6489132 7986624 8652176 8984952 9733698 11979936 12978264 14600547 15973248 17304352 17969904 19467396 23959872 25956528 29201094 34608704 35939808 38934792 47919744 51913056 58402188 69217408 71879616 77869584 103826112 116804376 143759232 155739168 207652224 233608752 311478336 467217504 622956672 934435008 1868870016