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11125604060532 = 2232133759611671069
BaseRepresentation
bin1010000111100110000110…
…1011011000110101110100
31110101121010110212001122100
42201321201223120311310
52424240214114414112
635355010522302100
72225540561113533
oct241714153306564
943347113761570
1011125604060532
1135aa3844a2715
1212b8272357930
136291a8657b70
142a66a6ca231a
151446086372dc
hexa1e61ad8d74

11125604060532 has 576 divisors, whose sum is σ = 32373452966400. Its totient is φ = 3198332252160.

The previous prime is 11125604060521. The next prime is 11125604060539. The reversal of 11125604060532 is 23506040652111.

11125604060532 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 5 + 6 + 0 + 40 + 605 + 3 + 2 = 666.

11125604060532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111256040605322 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11125604060539) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10407486894 + ... + 10407487962.

It is an arithmetic number, because the mean of its divisors is an integer number (56203911400).

Almost surely, 211125604060532 is an apocalyptic number.

11125604060532 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 11125604060532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186726483200).

11125604060532 is an abundant number, since it is smaller than the sum of its proper divisors (21247848905868).

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

11125604060532 is a wasteful number, since it uses less digits than its factorization.

11125604060532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11125604060532 in words is "eleven trillion, one hundred twenty-five billion, six hundred four million, sixty thousand, five hundred thirty-two".