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109329002640 = 243351113418997
BaseRepresentation
bin110010111010010000…
…1000011000010010000
3101110012022210210001000
41211310201003002100
53242401211041030
6122120335542000
710620163121634
oct1456441030220
9343168723030
10109329002640
114240340a940
121923208a900
13a4044a3850
145412038dc4
152c9d253860
hex1974843090

109329002640 has 1280 divisors, whose sum is σ = 463020364800. Its totient is φ = 23357030400.

The previous prime is 109329002639. The next prime is 109329002641. The reversal of 109329002640 is 46200923901.

109329002640 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 2 + 9 + 0 + 0 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (109329002639) and next prime (109329002641).

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

It is a junction number, because it is equal to n+sod(n) for n = 109329002595 and 109329002604.

It is not an unprimeable number, because it can be changed into a prime (109329002641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1127103072 + ... + 1127103168.

It is an arithmetic number, because the mean of its divisors is an integer number (361734660).

Almost surely, 2109329002640 is an apocalyptic number.

109329002640 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 109329002640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231510182400).

109329002640 is an abundant number, since it is smaller than the sum of its proper divisors (353691362160).

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

109329002640 is a wasteful number, since it uses less digits than its factorization.

109329002640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 109329002640 in words is "one hundred nine billion, three hundred twenty-nine million, two thousand, six hundred forty".