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104229835632 = 243213237930643
BaseRepresentation
bin110000100010010010…
…1010001001101110000
3100222000221211020220200
41201010211101031300
53201430314220012
6115514343035200
710346624661546
oct1410445211560
9328027736820
10104229835632
114022703022a
121824a43bb00
139aa0c33670
14508ab21d96
152aa075e3dc
hex1844951370

104229835632 has 240 divisors, whose sum is σ = 331955420160. Its totient is φ = 30287043072.

The previous prime is 104229835631. The next prime is 104229835639. The reversal of 104229835632 is 236538922401.

104229835632 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 9 + 8 + 3 + 5 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104229835631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386103 + ... + 3416745.

It is an arithmetic number, because the mean of its divisors is an integer number (1383147584).

Almost surely, 2104229835632 is an apocalyptic number.

104229835632 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 104229835632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165977710080).

104229835632 is an abundant number, since it is smaller than the sum of its proper divisors (227725584528).

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

104229835632 is a wasteful number, since it uses less digits than its factorization.

104229835632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30772 (or 30763 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 104229835632 in words is "one hundred four billion, two hundred twenty-nine million, eight hundred thirty-five thousand, six hundred thirty-two".