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11086420752 = 24341136427
BaseRepresentation
bin10100101001100110…
…10101101100010000
31001121122001112020000
422110303111230100
5140201110431002
65032032250000
7541506010251
oct122463255420
931548045200
1011086420752
114779aa5000
1221949a0900
131078ac53a4
14772568b28
1544d46061c
hex294cd5b10

11086420752 has 200 divisors, whose sum is σ = 35299130592. Its totient is φ = 3358998720.

The previous prime is 11086420729. The next prime is 11086420781. The reversal of 11086420752 is 25702468011.

11086420752 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 642 + 0 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1721763 + ... + 1728189.

Almost surely, 211086420752 is an apocalyptic number.

11086420752 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 11086420752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17649565296).

11086420752 is an abundant number, since it is smaller than the sum of its proper divisors (24212709840).

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

11086420752 is an equidigital number, since it uses as much as digits as its factorization.

11086420752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 11086420752 its reverse (25702468011), we get a palindrome (36788888763).

The spelling of 11086420752 in words is "eleven billion, eighty-six million, four hundred twenty thousand, seven hundred fifty-two".