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11396670824448 = 2133671367313
BaseRepresentation
bin1010010111010111111010…
…0001000010000000000000
31111100111210120210102000000
42211311332201002000000
52443210340212340243
640123320332000000
72254245061436220
oct245657641020000
944314716712000
1011396670824448
1136a433462a458
121340902000000
13648917106420
142b585d526080
1514b6c0b8a5d3
hexa5d7e842000

11396670824448 has 1568 divisors, whose sum is σ = 42822318435456. Its totient is φ = 2951394361344.

The previous prime is 11396670824443. The next prime is 11396670824459. The reversal of 11396670824448 is 84442807669311.

11396670824448 is a `hidden beast` number, since 1 + 13 + 96 + 6 + 70 + 8 + 24 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11396670824443) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36411088740 + ... + 36411089052.

Almost surely, 211396670824448 is an apocalyptic number.

11396670824448 is a gapful number since it is divisible by the number (18) 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 11396670824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21411159217728).

11396670824448 is an abundant number, since it is smaller than the sum of its proper divisors (31425647611008).

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

11396670824448 is an frugal number, since it uses more digits than its factorization.

11396670824448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 11396670824448 in words is "eleven trillion, three hundred ninety-six billion, six hundred seventy million, eight hundred twenty-four thousand, four hundred forty-eight".