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2088381335040 = 29325711132331127
BaseRepresentation
bin11110011000111101001…
…110100100011000000000
321101122110212220212012100
4132120331032210120000
5233204001110210130
64235220015430400
7303611015312550
oct36307516443000
97348425825170
102088381335040
1173574a901a40
122988aa825400
13121c19c17020
14731147d9160
15394cc1bec60
hex1e63d3a4600

2088381335040 has 3840 divisors, whose sum is σ = 10542429241344. Its totient is φ = 367873228800.

The previous prime is 2088381335039. The next prime is 2088381335041. The reversal of 2088381335040 is 405331838802.

2088381335040 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 3 + 8 + 133 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2088381335039) and next prime (2088381335041).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×20883813350402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088381335041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16443947457 + ... + 16443947583.

Almost surely, 22088381335040 is an apocalyptic number.

2088381335040 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 2088381335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271214620672).

2088381335040 is an abundant number, since it is smaller than the sum of its proper divisors (8454047906304).

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

2088381335040 is a wasteful number, since it uses less digits than its factorization.

2088381335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2088381335040 in words is "two trillion, eighty-eight billion, three hundred eighty-one million, three hundred thirty-five thousand, forty".