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1868516330016 = 253712721893939
BaseRepresentation
bin11011001100001100010…
…000001000101000100000
320121121222010010100202010
4123030030100020220200
5221103210140030031
63550215021352520
7251665401515160
oct33141420105040
96547863110663
101868516330016
11660484835516
1226216a408740
1310727b19740b
14666183325a0
153390ec98246
hex1b30c408a20

1868516330016 has 96 divisors (see below), whose sum is σ = 5649687429120. Its totient is φ = 529658148096.

The previous prime is 1868516329993. The next prime is 1868516330069. The reversal of 1868516330016 is 6100336158681.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×18685163300162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10861626 + ... + 11032313.

It is an arithmetic number, because the mean of its divisors is an integer number (58850910720).

Almost surely, 21868516330016 is an apocalyptic number.

1868516330016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1868516330016 is an abundant number, since it is smaller than the sum of its proper divisors (3781171099104).

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

1868516330016 is a wasteful number, since it uses less digits than its factorization.

1868516330016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21894086 (or 21894078 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 1868516330016 in words is "one trillion, eight hundred sixty-eight billion, five hundred sixteen million, three hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 127 168 224 254 336 381 508 672 762 889 1016 1524 1778 2032 2667 3048 3556 4064 5334 6096 7112 10668 12192 14224 21336 28448 42672 85344 21893939 43787878 65681817 87575756 131363634 153257573 175151512 262727268 306515146 350303024 459772719 525454536 613030292 700606048 919545438 1050909072 1226060584 1839090876 2101818144 2452121168 2780530253 3678181752 4904242336 5561060506 7356363504 8341590759 11122121012 14712727008 16683181518 19463711771 22244242024 33366363036 38927423542 44488484048 58391135313 66732726072 77854847084 88976968096 116782270626 133465452144 155709694168 233564541252 266930904288 311419388336 467129082504 622838776672 934258165008 1868516330016