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103929080832 = 210342943207
BaseRepresentation
bin110000011001010100…
…1111110110000000000
3100221020222220022220000
41200302221332300000
53200321321041312
6115424440520000
710336313416443
oct1406251766000
9327228808800
10103929080832
1140092290745
1218185780000
139a53830145
14505cbd365a
152a84151adc
hex1832a7ec00

103929080832 has 220 divisors, whose sum is σ = 321061796880. Its totient is φ = 33447665664.

The previous prime is 103929080819. The next prime is 103929080839. The reversal of 103929080832 is 238080929301.

It is not an unprimeable number, because it can be changed into a prime (103929080839) 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, 2383773 + ... + 2426979.

It is an arithmetic number, because the mean of its divisors is an integer number (1459371804).

Almost surely, 2103929080832 is an apocalyptic number.

103929080832 is a gapful number since it is divisible by the number (12) 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 103929080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160530898440).

103929080832 is an abundant number, since it is smaller than the sum of its proper divisors (217132716048).

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

103929080832 is an equidigital number, since it uses as much as digits as its factorization.

103929080832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43268 (or 43241 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 103929080832 in words is "one hundred three billion, nine hundred twenty-nine million, eighty thousand, eight hundred thirty-two".