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6104691120 = 2435113197769
BaseRepresentation
bin1011010111101111…
…00011000110110000
3120202110001102220010
411223313203012300
5100000300103440
62445432414520
7304165006203
oct55367430660
916673042803
106104691120
112652a36880
121224547440
13763992888
1441caa193a
1525ae17580
hex16bde31b0

6104691120 has 320 divisors, whose sum is σ = 21558620160. Its totient is φ = 1415577600.

The previous prime is 6104691101. The next prime is 6104691121. The reversal of 6104691120 is 211964016.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6104691121) 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, 7938096 + ... + 7938864.

It is an arithmetic number, because the mean of its divisors is an integer number (67370688).

Almost surely, 26104691120 is an apocalyptic number.

6104691120 is a gapful number since it is divisible by the number (60) 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 6104691120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10779310080).

6104691120 is an abundant number, since it is smaller than the sum of its proper divisors (15453929040).

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

6104691120 is a wasteful number, since it uses less digits than its factorization.

6104691120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 6104691120 is about 78132.5228058073. The cubic root of 6104691120 is about 1827.6284008610.

The spelling of 6104691120 in words is "six billion, one hundred four million, six hundred ninety-one thousand, one hundred twenty".