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2054874096 = 243511232089
BaseRepresentation
bin111101001111010…
…1110001111110000
312022012121102100000
41322132232033300
513202021432341
6535523030000
7101631066402
oct17236561760
95265542300
102054874096
11964a17360
1249420b300
1326994b142
14156ca0b72
15c06018b6
hex7a7ae3f0

2054874096 has 240 divisors, whose sum is σ = 6792065280. Its totient is φ = 595330560.

The previous prime is 2054874089. The next prime is 2054874103. The reversal of 2054874096 is 6904784502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2054874089) and next prime (2054874103).

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, 982620 + ... + 984708.

It is an arithmetic number, because the mean of its divisors is an integer number (28300272).

Almost surely, 22054874096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054874096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396032640).

2054874096 is an abundant number, since it is smaller than the sum of its proper divisors (4737191184).

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

2054874096 is a wasteful number, since it uses less digits than its factorization.

2054874096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2054874096 is about 45330.7191207022. The cubic root of 2054874096 is about 1271.3400813291.

The spelling of 2054874096 in words is "two billion, fifty-four million, eight hundred seventy-four thousand, ninety-six".