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2088386121024 = 26357103186247
BaseRepresentation
bin11110011000111101100…
…000110100110101000000
321101122111012221000100000
4132120331200310311000
5233204003321333044
64235220310200000
7303611104065060
oct36307540646500
97348435830300
102088386121024
117357525807a5
122988b0353000
13121c1ac01578
14731152c33a0
15394cc817d69
hex1e63d834d40

2088386121024 has 336 divisors, whose sum is σ = 7163413956608. Its totient is φ = 590885549568.

The previous prime is 2088386120983. The next prime is 2088386121049. The reversal of 2088386121024 is 4201216838802.

2088386121024 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 3 + 8 + 612 + 1 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×20883861210242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11119869 + ... + 11306115.

Almost surely, 22088386121024 is an apocalyptic number.

2088386121024 is a gapful number since it is divisible by the number (24) 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 2088386121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581706978304).

2088386121024 is an abundant number, since it is smaller than the sum of its proper divisors (5075027835584).

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

2088386121024 is a wasteful number, since it uses less digits than its factorization.

2088386121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186384 (or 186362 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2088386121024 in words is "two trillion, eighty-eight billion, three hundred eighty-six million, one hundred twenty-one thousand, twenty-four".