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389989304100 = 22335211217234371
BaseRepresentation
bin1011010110011010010…
…11001000011100100100
31101021122000200022212000
411223031023020130210
522342144230212400
6455054132125300
740114204250454
oct5531513103444
91337560608760
10389989304100
11140436882400
12636ba766830
132aa11677646
1414c38857d64
15a227b26600
hex5acd2c8724

389989304100 has 1728 divisors, whose sum is σ = 1579938877440. Its totient is φ = 81962496000.

The previous prime is 389989304063. The next prime is 389989304101. The reversal of 389989304100 is 1403989983.

389989304100 is a `hidden beast` number, since 38 + 99 + 89 + 30 + 410 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389989304101) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5492807065 + ... + 5492807135.

It is an arithmetic number, because the mean of its divisors is an integer number (914316480).

Almost surely, 2389989304100 is an apocalyptic number.

389989304100 is a gapful number since it is divisible by the number (30) 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 389989304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789969438720).

389989304100 is an abundant number, since it is smaller than the sum of its proper divisors (1189949573340).

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

389989304100 is a wasteful number, since it uses less digits than its factorization.

389989304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 389989304100 in words is "three hundred eighty-nine billion, nine hundred eighty-nine million, three hundred four thousand, one hundred".