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1998363292310 = 257112317610783
BaseRepresentation
bin11101000101000111101…
…110111111001010010110
321002001010101002111002202
4131011013232333022112
5230220122000323220
64130011352404502
7264243206501360
oct35050756771226
97061111074082
101998363292310
11700556a88100
122833679a6732
131165a2448498
146ca15361d30
1536eae47c275
hex1d147bbf296

1998363292310 has 96 divisors (see below), whose sum is σ = 4664375525376. Its totient is φ = 602773934400.

The previous prime is 1998363292309. The next prime is 1998363292349. The reversal of 1998363292310 is 132923638991.

It is a super-2 number, since 2×19983632923102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3542822 + ... + 4067961.

It is an arithmetic number, because the mean of its divisors is an integer number (48587245056).

Almost surely, 21998363292310 is an apocalyptic number.

1998363292310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1998363292310 is an abundant number, since it is smaller than the sum of its proper divisors (2666012233066).

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

1998363292310 is a wasteful number, since it uses less digits than its factorization.

1998363292310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610850 (or 7610839 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 56.

The spelling of 1998363292310 in words is "one trillion, nine hundred ninety-eight billion, three hundred sixty-three million, two hundred ninety-two thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 14 22 31 35 55 62 70 77 110 121 154 155 217 242 310 341 385 434 605 682 770 847 1085 1210 1694 1705 2170 2387 3410 3751 4235 4774 7502 8470 11935 18755 23870 26257 37510 52514 131285 262570 7610783 15221566 38053915 53275481 76107830 83718613 106550962 167437226 235934273 266377405 418593065 471868546 532754810 586030291 837186130 920904743 1172060582 1179671365 1651539911 1841809486 2359342730 2595277003 2930151455 3303079822 4604523715 5190554006 5860302910 6446333201 8257699555 9209047430 12892666402 12976385015 16515399110 18166939021 25952770030 28548047033 32231666005 36333878042 57096094066 64463332010 90834695105 142740235165 181669390210 199836329231 285480470330 399672658462 999181646155 1998363292310