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1054619203040 = 255136719313919
BaseRepresentation
bin11110101100011000011…
…00111111010111100000
310201211011020002102102222
433112030030333113200
5114234330003444130
62124252501330212
7136123306214024
oct17261414772740
93654136072388
101054619203040
11377297056617
12150485a06968
13785b101a2b0
1439088432384
151c6768e3ce5
hexf58c33f5e0

1054619203040 has 192 divisors, whose sum is σ = 2725347824640. Its totient is φ = 383289477120.

The previous prime is 1054619203039. The next prime is 1054619203091. The reversal of 1054619203040 is 403029164501.

It is a super-2 number, since 2×10546192030402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269102201 + ... + 269106119.

It is an arithmetic number, because the mean of its divisors is an integer number (14194519920).

Almost surely, 21054619203040 is an apocalyptic number.

1054619203040 is a gapful number since it is divisible by the number (10) 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 1054619203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362673912320).

1054619203040 is an abundant number, since it is smaller than the sum of its proper divisors (1670728621600).

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

1054619203040 is a wasteful number, since it uses less digits than its factorization.

1054619203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 1054619203040 in words is "one trillion, fifty-four billion, six hundred nineteen million, two hundred three thousand, forty".