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20215503253440 = 2634511113627449
BaseRepresentation
bin1001001100010110010011…
…11000111110111111000000
32122120120202011212001210000
410212023021320332333000
510122202322313102230
6110554512440440000
74154344005322335
oct446131170767700
978516664761700
1020215503253440
11649438a629a90
122325a97179000
13b384104a2b51
144dc61532498c
15250cb93cbb60
hex1262c9e3efc0

20215503253440 has 560 divisors, whose sum is σ = 79141734223200. Its totient is φ = 4857351045120.

The previous prime is 20215503253423. The next prime is 20215503253457. The reversal of 20215503253440 is 4435230551202.

20215503253440 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 5 + 50 + 32 + 534 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (20215503253423) and next prime (20215503253457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20215503253395 and 20215503253404.

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 79 ways as a sum of consecutive naturals, for example, 31904836 + ... + 32532284.

Almost surely, 220215503253440 is an apocalyptic number.

20215503253440 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 20215503253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39570867111600).

20215503253440 is an abundant number, since it is smaller than the sum of its proper divisors (58926230969760).

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

20215503253440 is a wasteful number, since it uses less digits than its factorization.

20215503253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627602 (or 627583 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 20215503253440 in words is "twenty trillion, two hundred fifteen billion, five hundred three million, two hundred fifty-three thousand, four hundred forty".