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109078253640 = 233355911315149
BaseRepresentation
bin110010110010110010…
…0100001000001001000
3101102112211222102002000
41211211210201001020
53241343013104030
6122035421311000
710611026600166
oct1454544410110
9342484872060
10109078253640
1142294915464
1219182105460
13a39455b265
1453caa06236
152c86222860
hex1965921048

109078253640 has 256 divisors, whose sum is σ = 373053600000. Its totient is φ = 28339605504.

The previous prime is 109078253567. The next prime is 109078253657. The reversal of 109078253640 is 46352870901.

109078253640 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 78 + 2 + 536 + 40 = 666.

109078253640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7192786 + ... + 7207934.

It is an arithmetic number, because the mean of its divisors is an integer number (1457240625).

It is a 1-persistent number, because it is pandigital, but 2⋅109078253640 = 218156507280 is not.

Almost surely, 2109078253640 is an apocalyptic number.

109078253640 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 109078253640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186526800000).

109078253640 is an abundant number, since it is smaller than the sum of its proper divisors (263975346360).

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

109078253640 is a wasteful number, since it uses less digits than its factorization.

109078253640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15341 (or 15331 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 109078253640 in words is "one hundred nine billion, seventy-eight million, two hundred fifty-three thousand, six hundred forty".