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1682745614660 = 2251171107730193
BaseRepresentation
bin11000011111001011011…
…101000110000101000100
312221212110102202020020002
4120133023131012011010
5210032230334132120
63325013114300432
7232401001503065
oct30371335060504
95855412666202
101682745614660
115997150374a0
12232164127718
13c28b3b258c6
145b633d7056c
152db8ab48375
hex187cb746144

1682745614660 has 48 divisors (see below), whose sum is σ = 3909313279872. Its totient is φ = 603289075200.

The previous prime is 1682745614657. The next prime is 1682745614687. The reversal of 1682745614660 is 664165472861.

It is a happy number.

It is a super-2 number, since 2×16827456146602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1682745614596 and 1682745614605.

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, 53849477 + ... + 53880716.

It is an arithmetic number, because the mean of its divisors is an integer number (81444026664).

Almost surely, 21682745614660 is an apocalyptic number.

1682745614660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682745614660 is an abundant number, since it is smaller than the sum of its proper divisors (2226567665212).

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

1682745614660 is a wasteful number, since it uses less digits than its factorization.

1682745614660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107730284 (or 107730282 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 1682745614660 in words is "one trillion, six hundred eighty-two billion, seven hundred forty-five million, six hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 107730193 215460386 430920772 538650965 1077301930 1185032123 2154603860 2370064246 4740128492 5925160615 7648843703 11850321230 15297687406 23700642460 30595374812 38244218515 76488437030 84137280733 152976874060 168274561466 336549122932 420686403665 841372807330 1682745614660