Search a number
-
+
11926306980 = 22325723153823
BaseRepresentation
bin10110001101101110…
…10000000010100100
31010210011110011112100
423012313100002210
5143411113310410
65251234052100
7601354636200
oct130667200244
933704404470
1011926306980
1150700a8a55
12238a11a030
131180b020a3
14811d17b00
1549c0658c0
hex2c6dd00a4

11926306980 has 432 divisors, whose sum is σ = 44313744384. Its totient is φ = 2585157120.

The previous prime is 11926306933. The next prime is 11926306981. The reversal of 11926306980 is 8960362911.

It is a happy number.

11926306980 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 630 + 6 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11926306981) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14490849 + ... + 14491671.

It is an arithmetic number, because the mean of its divisors is an integer number (102578112).

Almost surely, 211926306980 is an apocalyptic number.

11926306980 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 11926306980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22156872192).

11926306980 is an abundant number, since it is smaller than the sum of its proper divisors (32387437404).

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

11926306980 is a wasteful number, since it uses less digits than its factorization.

11926306980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 11926306980 in words is "eleven billion, nine hundred twenty-six million, three hundred six thousand, nine hundred eighty".