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2054119223520 = 25335721317192311
BaseRepresentation
bin11101111001000011000…
…010111111000011100000
321021101001002201020222000
4131321003002333003200
5232123314010123040
64211352131444000
7301255663212600
oct35710302770340
97241032636860
102054119223520
117221688294a1
12292128456600
1311b91983a160
14715c42cac00
15386742e8130
hex1de430bf0e0

2054119223520 has 2304 divisors, whose sum is σ = 10042573363200. Its totient is φ = 386266890240.

The previous prime is 2054119223461. The next prime is 2054119223581. The reversal of 2054119223520 is 253229114502.

2054119223520 is a `hidden beast` number, since 2 + 0 + 5 + 41 + 1 + 92 + 2 + 3 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 888843165 + ... + 888845475.

It is an arithmetic number, because the mean of its divisors is an integer number (4358755800).

Almost surely, 22054119223520 is an apocalyptic number.

2054119223520 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 2054119223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021286681600).

2054119223520 is an abundant number, since it is smaller than the sum of its proper divisors (7988454139680).

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

2054119223520 is a wasteful number, since it uses less digits than its factorization.

2054119223520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2054119223520 in words is "two trillion, fifty-four billion, one hundred nineteen million, two hundred twenty-three thousand, five hundred twenty".