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2000919109182 = 237413191364141
BaseRepresentation
bin11101000111100000000…
…100101001111000111110
321002021201111022102201220
4131013200010221320332
5230240340242443212
64131113132414210
7264363432542460
oct35074004517076
97067644272656
102000919109182
11701648745154
1228395b917366
131168bbabb866
146cbb8982130
15370ada3138c
hex1d1e0129e3e

2000919109182 has 64 divisors (see below), whose sum is σ = 4686559976448. Its totient is φ = 557571168000.

The previous prime is 2000919109127. The next prime is 2000919109193. The reversal of 2000919109182 is 2819019190002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5312832 + ... + 5676972.

It is an arithmetic number, because the mean of its divisors is an integer number (73227499632).

Almost surely, 22000919109182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000919109182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343279988224).

2000919109182 is an abundant number, since it is smaller than the sum of its proper divisors (2685640867266).

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

2000919109182 is a wasteful number, since it uses less digits than its factorization.

2000919109182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367385.

The product of its (nonzero) digits is 23328, while the sum is 42.

The spelling of 2000919109182 in words is "two trillion, nine hundred nineteen million, one hundred nine thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 3191 6382 9573 19146 22337 44674 67011 130831 134022 261662 364141 392493 728282 784986 915817 1092423 1831634 2184846 2548987 2747451 5097974 5494902 7646961 14929781 15293922 29859562 44789343 89578686 104508467 209016934 313525401 627050802 1161973931 2323947862 3485921793 6971843586 8133817517 16267635034 24401452551 47640931171 48802905102 95281862342 142922793513 285845587026 333486518197 666973036394 1000459554591 2000919109182