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4090058219520 = 213345713192331
BaseRepresentation
bin111011100001001010011…
…101111010000000000000
3112111000011012010021020000
4323201022131322000000
51014002414401011040
612410540302120000
7601332312146640
oct73411235720000
915430135107200
104090058219520
111337647267969
12560820280000
132388c99c3420
14101d61c74520
15715d24d7130
hex3b84a77a000

4090058219520 has 4480 divisors, whose sum is σ = 20461585858560. Its totient is φ = 756767784960.

The previous prime is 4090058219519. The next prime is 4090058219521. The reversal of 4090058219520 is 259128500904.

It is a happy number.

4090058219520 is a `hidden beast` number, since 4 + 0 + 9 + 0 + 0 + 582 + 19 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4090058219519) and next prime (4090058219521).

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×40900582195202 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4090058219521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 131937361905 + ... + 131937361935.

It is an arithmetic number, because the mean of its divisors is an integer number (4567318272).

Almost surely, 24090058219520 is an apocalyptic number.

4090058219520 is a gapful number since it is divisible by the number (40) 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 4090058219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10230792929280).

4090058219520 is an abundant number, since it is smaller than the sum of its proper divisors (16371527639040).

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

4090058219520 is a wasteful number, since it uses less digits than its factorization.

4090058219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 4090058219520 in words is "four trillion, ninety billion, fifty-eight million, two hundred nineteen thousand, five hundred twenty".