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1136885041152 = 21131071779
BaseRepresentation
bin10000100010110011101…
…000010000100000000000
311000200111110210000000000
4100202303220100200000
5122111320032304102
62230140000000000
7145065033255450
oct20426350204000
94020443700000
101136885041152
113a9171a70383
12164404600000
13832916c5b03
143d0500a5d60
151e88dc8701c
hex108b3a10800

1136885041152 has 1056 divisors, whose sum is σ = 4178378131200. Its totient is φ = 301847150592.

The previous prime is 1136885041139. The next prime is 1136885041183. The reversal of 1136885041152 is 2511405886311.

1136885041152 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 88 + 504 + 11 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1136885041098 and 1136885041107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 14390949849 + ... + 14390949927.

Almost surely, 21136885041152 is an apocalyptic number.

1136885041152 is a gapful number since it is divisible by the number (12) 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 1136885041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089189065600).

1136885041152 is an abundant number, since it is smaller than the sum of its proper divisors (3041493090048).

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

1136885041152 is an frugal number, since it uses more digits than its factorization.

1136885041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 1136885041152 in words is "one trillion, one hundred thirty-six billion, eight hundred eighty-five million, forty-one thousand, one hundred fifty-two".