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2030940116520 = 23357219532271511
BaseRepresentation
bin11101100011011101011…
…101101101011000101000
321012011012201010121202120
4131203131131231120220
5231233331132212040
64153000115031240
7266505406104300
oct35433535553050
97164181117676
102030940116520
11713353827317
1228973989b520
1311969462a723
1470425ad8600
1537c694097d0
hex1d8dd76d628

2030940116520 has 768 divisors, whose sum is σ = 7639901337600. Its totient is φ = 429299619840.

The previous prime is 2030940116507. The next prime is 2030940116587. The reversal of 2030940116520 is 256110490302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1344102565 + ... + 1344104075.

It is an arithmetic number, because the mean of its divisors is an integer number (9947788200).

Almost surely, 22030940116520 is an apocalyptic number.

2030940116520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030940116520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819950668800).

2030940116520 is an abundant number, since it is smaller than the sum of its proper divisors (5608961221080).

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

2030940116520 is a wasteful number, since it uses less digits than its factorization.

2030940116520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 2030940116520 in words is "two trillion, thirty billion, nine hundred forty million, one hundred sixteen thousand, five hundred twenty".