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34164021500 = 22537181199271
BaseRepresentation
bin11111110100010101…
…011001100011111100
310021011221122010000122
4133310111121203330
51024431442142000
623410021314112
72316421251140
oct376425314374
9107157563018
1034164021500
1113541777014
126755565938
1332b5c8484b
141921497220
15d4e49d085
hex7f45598fc

34164021500 has 192 divisors, whose sum is σ = 86493388800. Its totient is φ = 11547360000.

The previous prime is 34164021499. The next prime is 34164021517. The reversal of 34164021500 is 512046143.

It is a self number, because there is not a number n which added to its sum of digits gives 34164021500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126066365 + ... + 126066635.

It is an arithmetic number, because the mean of its divisors is an integer number (450486400).

Almost surely, 234164021500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34164021500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43246694400).

34164021500 is an abundant number, since it is smaller than the sum of its proper divisors (52329367300).

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

34164021500 is a wasteful number, since it uses less digits than its factorization.

34164021500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 34164021500 its reverse (512046143), we get a palindrome (34676067643).

The spelling of 34164021500 in words is "thirty-four billion, one hundred sixty-four million, twenty-one thousand, five hundred".