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2008216219537 = 114759678311839
BaseRepresentation
bin11101001110010011000…
…000111010111110010001
321002222120001010001022101
4131032103000322332101
5230400311323011122
64134321203040401
7265042320134623
oct35162300727621
97088501101271
102008216219537
1170475277a170
12285257670101
131174b2820238
146d2abb5cc13
1537389488027
hex1d39303af91

2008216219537 has 64 divisors (see below), whose sum is σ = 2337295564800. Its totient is φ = 1709314390080.

The previous prime is 2008216219459. The next prime is 2008216219547. The reversal of 2008216219537 is 7359126128002.

It is not a de Polignac number, because 2008216219537 - 223 = 2008207830929 is a prime.

It is a super-2 number, since 2×20082162195372 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2008216219547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169621264 + ... + 169633102.

It is an arithmetic number, because the mean of its divisors is an integer number (36520243200).

Almost surely, 22008216219537 is an apocalyptic number.

It is an amenable number.

2008216219537 is a deficient number, since it is larger than the sum of its proper divisors (329079345263).

2008216219537 is a wasteful number, since it uses less digits than its factorization.

2008216219537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12106.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 2008216219537 in words is "two trillion, eight billion, two hundred sixteen million, two hundred nineteen thousand, five hundred thirty-seven".

Divisors: 1 11 47 59 67 83 517 649 737 913 2773 3149 3901 3953 4897 5561 11839 30503 34639 42911 43483 53867 61171 130229 185791 230159 261367 328099 556433 698501 793213 982637 2043701 2531749 2875037 3609089 6120763 7683511 8725343 10809007 15420653 32829547 37281011 46183939 46799567 57975583 65836679 169627183 361125017 410091121 508023329 514795237 637731413 724203469 2199579649 2724852401 3094323913 3884364061 24195376139 29973376411 34037563043 42728004671 182565110867 2008216219537