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11126500000 = 2556711172
BaseRepresentation
bin10100101110011000…
…01110101010100000
31001201102110202121121
422113030032222200
5140241341000000
65040023302024
7542503455340
oct122714165240
931642422547
1011126500000
11479a68a150
1221a62aa914
1310841b9015
147779dcd20
15451c2ab1a
hex29730eaa0

11126500000 has 504 divisors, whose sum is σ = 36263910816. Its totient is φ = 3264000000.

The previous prime is 11126499953. The next prime is 11126500001. The reversal of 11126500000 is 562111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11126500001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 654499992 + ... + 654500008.

It is an arithmetic number, because the mean of its divisors is an integer number (71952204).

Almost surely, 211126500000 is an apocalyptic number.

11126500000 is a gapful number since it is divisible by the number (10) 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 11126500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131955408).

11126500000 is an abundant number, since it is smaller than the sum of its proper divisors (25137410816).

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

11126500000 is an frugal number, since it uses more digits than its factorization.

11126500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The spelling of 11126500000 in words is "eleven billion, one hundred twenty-six million, five hundred thousand".