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1138779648 = 2939113
BaseRepresentation
bin100001111100000…
…0110011000000000
32221100211000000000
41003320012120000
54313011422043
6305000000000
740135316166
oct10370063000
92840730000
101138779648
115348a2006
12279460000
13151c0ac16
14ab355236
1569e962d3
hex43e06600

1138779648 has 200 divisors, whose sum is σ = 3443147928. Its totient is φ = 376233984.

The previous prime is 1138779643. The next prime is 1138779661. The reversal of 1138779648 is 8469778311.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1138779594 and 1138779603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138779643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10077640 + ... + 10077752.

Almost surely, 21138779648 is an apocalyptic number.

1138779648 is a gapful number since it is divisible by the number (18) 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 1138779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721573964).

1138779648 is an abundant number, since it is smaller than the sum of its proper divisors (2304368280).

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

1138779648 is an frugal number, since it uses more digits than its factorization.

1138779648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 118 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 1138779648 is about 33745.8093398277. The cubic root of 1138779648 is about 1044.2710354561.

The spelling of 1138779648 in words is "one billion, one hundred thirty-eight million, seven hundred seventy-nine thousand, six hundred forty-eight".