Search a number
-
+
5346161700 = 223521117233409
BaseRepresentation
bin1001111101010011…
…11111010000100100
3111210120202011010220
410332221333100210
541422104133300
62242254444340
7246324424155
oct47651772044
914716664126
105346161700
1122a3850460
1210525036b0
1367279c9b9
1438a04d92c
15214532da0
hex13ea7f424

5346161700 has 288 divisors, whose sum is σ = 17987598720. Its totient is φ = 1211596800.

The previous prime is 5346161677. The next prime is 5346161713. The reversal of 5346161700 is 71616435.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13071096 + ... + 13071504.

It is an arithmetic number, because the mean of its divisors is an integer number (62456940).

Almost surely, 25346161700 is an apocalyptic number.

5346161700 is a gapful number since it is divisible by the number (50) 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 5346161700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993799360).

5346161700 is an abundant number, since it is smaller than the sum of its proper divisors (12641437020).

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

5346161700 is a wasteful number, since it uses less digits than its factorization.

5346161700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 5346161700 is about 73117.4514052562. The cubic root of 5346161700 is about 1748.5606341407.

The spelling of 5346161700 in words is "five billion, three hundred forty-six million, one hundred sixty-one thousand, seven hundred".