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104245989120 = 2835571329127
BaseRepresentation
bin110000100010110001…
…0111000111100000000
3100222002002012221100000
41201011202320330000
53201443433122440
6115520121200000
710350212200350
oct1410542707400
9328062187300
10104245989120
1140235163619
1218253930000
139aa439b040
14508cd28b60
152aa1da0730
hex18458b8f00

104245989120 has 1728 divisors, whose sum is σ = 479979601920. Its totient is φ = 21069103104.

The previous prime is 104245989097. The next prime is 104245989131. The reversal of 104245989120 is 21989542401.

It is a happy number.

104245989120 is a `hidden beast` number, since 1 + 0 + 42 + 4 + 598 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 820834497 + ... + 820834623.

Almost surely, 2104245989120 is an apocalyptic number.

104245989120 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 104245989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239989800960).

104245989120 is an abundant number, since it is smaller than the sum of its proper divisors (375733612800).

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

104245989120 is a wasteful number, since it uses less digits than its factorization.

104245989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 104245989120 in words is "one hundred four billion, two hundred forty-five million, nine hundred eighty-nine thousand, one hundred twenty".