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11056372992 = 28347192211
BaseRepresentation
bin10100100110000001…
…01101110100000000
31001112112111221110000
422103000231310000
5140120412413432
65025040240000
7540662422410
oct122300556400
931475457400
1011056372992
114764041745
122186910000
131072804752
1476c586640
1544a9c757c
hex29302dd00

11056372992 has 540 divisors, whose sum is σ = 39953708256. Its totient is φ = 2978519040.

The previous prime is 11056372991. The next prime is 11056372993. The reversal of 11056372992 is 29927365011.

It is a happy number.

11056372992 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 637 + 2 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11056372991) and next prime (11056372993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11056372991) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52399767 + ... + 52399977.

Almost surely, 211056372992 is an apocalyptic number.

11056372992 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 11056372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19976854128).

11056372992 is an abundant number, since it is smaller than the sum of its proper divisors (28897335264).

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

11056372992 is an equidigital number, since it uses as much as digits as its factorization.

11056372992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 11056372992 in words is "eleven billion, fifty-six million, three hundred seventy-two thousand, nine hundred ninety-two".