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109974882048 = 2832989109509
BaseRepresentation
bin110011001101100000…
…0111000011100000000
3101111212100010212000120
41212123000320130000
53300212032211143
6122304411220240
710642165034163
oct1463300703400
9344770125016
10109974882048
1142704a54679
1219392447680
13a4a8244105
145473b25ada
152cd9cd5383
hex199b038700

109974882048 has 288 divisors, whose sum is σ = 309604680000. Its totient is φ = 34607333376.

The previous prime is 109974882041. The next prime is 109974882049. The reversal of 109974882048 is 840288479901.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 109974881982 and 109974882000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109974882041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216060418 + ... + 216060926.

It is an arithmetic number, because the mean of its divisors is an integer number (1075016250).

Almost surely, 2109974882048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109974882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154802340000).

109974882048 is an abundant number, since it is smaller than the sum of its proper divisors (199629797952).

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

109974882048 is a wasteful number, since it uses less digits than its factorization.

109974882048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 109974882048 in words is "one hundred nine billion, nine hundred seventy-four million, eight hundred eighty-two thousand, forty-eight".