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1649411078436 = 2232114292612
BaseRepresentation
bin11000000000001000100…
…011111011100100100100
312211200102021221100002100
4120000020203323210210
5204010443214002221
63301421243412100
7230110641561222
oct30001043734444
95750367840070
101649411078436
11586569610000
12227800524030
13bc700978864
1459b90b19b12
152cd893e8926
hex180088fb924

1649411078436 has 405 divisors, whose sum is σ = 4828993466115. Its totient is φ = 474675062400.

The previous prime is 1649411078417. The next prime is 1649411078437. The reversal of 1649411078436 is 6348701149461.

It is a happy number.

The square root of 1649411078436 is 1284294.

It is a perfect power (a square), and thus also a powerful number.

1649411078436 is a `hidden beast` number, since 1 + 6 + 4 + 94 + 110 + 7 + 8 + 436 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 494903808036 + 1154507270400 = 703494^2 + 1074480^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1649411078437) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 27039525846 + ... + 27039525906.

Almost surely, 21649411078436 is an apocalyptic number.

1649411078436 is the 1284294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649411078436

1649411078436 is an abundant number, since it is smaller than the sum of its proper divisors (3179582387679).

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

1649411078436 is an equidigital number, since it uses as much as digits as its factorization.

1649411078436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1649411078436 in words is "one trillion, six hundred forty-nine billion, four hundred eleven million, seventy-eight thousand, four hundred thirty-six".