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104434901620 = 225779127149499
BaseRepresentation
bin110000101000011001…
…1100010001001110100
3100222120020200200120021
41201100303202021310
53202340313322440
6115550550214524
710354665005560
oct1412063421164
9328506620507
10104434901620
1140321863355
12182a7054444
139b0457279a
1450aa0626a0
152ab376984a
hex1850ce2274

104434901620 has 192 divisors, whose sum is σ = 258048000000. Its totient is φ = 34769419776.

The previous prime is 104434901609. The next prime is 104434901621. The reversal of 104434901620 is 26109434401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104434901621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209288131 + ... + 209288629.

It is an arithmetic number, because the mean of its divisors is an integer number (1344000000).

Almost surely, 2104434901620 is an apocalyptic number.

104434901620 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 104434901620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024000000).

104434901620 is an abundant number, since it is smaller than the sum of its proper divisors (153613098380).

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

104434901620 is a wasteful number, since it uses less digits than its factorization.

104434901620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 104434901620 in words is "one hundred four billion, four hundred thirty-four million, nine hundred one thousand, six hundred twenty".