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2163138831420 = 22357193710967213
BaseRepresentation
bin11111011110100101000…
…111110010010000111100
321122210102212100011012120
4133132211013302100330
5240420102020101140
64333422100202540
7312165411456210
oct37364507622074
97583385304176
102163138831420
117644225284a6
122ab292999450
13128ca1ba3998
14769a71c8940
153b4052d41d0
hex1f7a51f243c

2163138831420 has 384 divisors, whose sum is σ = 7552057497600. Its totient is φ = 451561402368.

The previous prime is 2163138831419. The next prime is 2163138831463. The reversal of 2163138831420 is 241388313612.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32149734 + ... + 32216946.

It is an arithmetic number, because the mean of its divisors is an integer number (19666816400).

Almost surely, 22163138831420 is an apocalyptic number.

2163138831420 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 2163138831420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776028748800).

2163138831420 is an abundant number, since it is smaller than the sum of its proper divisors (5388918666180).

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

2163138831420 is a wasteful number, since it uses less digits than its factorization.

2163138831420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67397 (or 67395 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 2163138831420 in words is "two trillion, one hundred sixty-three billion, one hundred thirty-eight million, eight hundred thirty-one thousand, four hundred twenty".