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12874090446 = 23271741473119
BaseRepresentation
bin10111111110101101…
…10000011111001110
31020020012212120000200
423333112300133032
5202331231343241
65525252234330
7634013651250
oct137726603716
936205776020
1012874090446
1155070a7778
1225b360b9a6
1312a2288cc9
148a1b51cd0
155053804b6
hex2ff5b07ce

12874090446 has 192 divisors, whose sum is σ = 35324190720. Its totient is φ = 3304581120.

The previous prime is 12874090441. The next prime is 12874090469. The reversal of 12874090446 is 64409047821.

12874090446 is a `hidden beast` number, since 1 + 2 + 87 + 40 + 90 + 446 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12874090441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4126075 + ... + 4129193.

It is an arithmetic number, because the mean of its divisors is an integer number (183980160).

Almost surely, 212874090446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12874090446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662095360).

12874090446 is an abundant number, since it is smaller than the sum of its proper divisors (22450100274).

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

12874090446 is a wasteful number, since it uses less digits than its factorization.

12874090446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12874090446 in words is "twelve billion, eight hundred seventy-four million, ninety thousand, four hundred forty-six".