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2092050916272 = 2432293779367467
BaseRepresentation
bin11110011100010111111…
…100111010001110110000
321101222221121212220022100
4132130113330322032300
5233234010013310042
64241024103340400
7304100654245242
oct36342774721660
97358847786270
102092050916272
117372632256a9
12299553751700
1312238324a175
1473381cdc092
153964442824c
hex1e717f3a3b0

2092050916272 has 480 divisors, whose sum is σ = 6329852006400. Its totient is φ = 643670157312.

The previous prime is 2092050916271. The next prime is 2092050916283. The reversal of 2092050916272 is 2726190502902.

2092050916272 is a `hidden beast` number, since 20 + 92 + 0 + 509 + 16 + 27 + 2 = 666.

It is a super-3 number, since 3×20920509162723 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2092050916271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4479766183 + ... + 4479766649.

It is an arithmetic number, because the mean of its divisors is an integer number (13187191680).

Almost surely, 22092050916272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2092050916272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164926003200).

2092050916272 is an abundant number, since it is smaller than the sum of its proper divisors (4237801090128).

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

2092050916272 is a wasteful number, since it uses less digits than its factorization.

2092050916272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2092050916272 in words is "two trillion, ninety-two billion, fifty million, nine hundred sixteen thousand, two hundred seventy-two".