Search a number
-
+
19395220680 = 233251123153271
BaseRepresentation
bin10010000100000010…
…111001010011001000
31212001200112021222200
4102010002321103020
5304210134030210
612524322520200
71254426440613
oct220402712310
955050467880
1019395220680
118253107400
123913506060
131aa12c7854
14d1dc5717a
15787b070c0
hex4840b94c8

19395220680 has 576 divisors, whose sum is σ = 73139189760. Its totient is φ = 4447872000.

The previous prime is 19395220679. The next prime is 19395220693. The reversal of 19395220680 is 8602259391.

19395220680 is a `hidden beast` number, since 19 + 39 + 522 + 0 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71568945 + ... + 71569215.

It is an arithmetic number, because the mean of its divisors is an integer number (126977760).

Almost surely, 219395220680 is an apocalyptic number.

19395220680 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 19395220680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36569594880).

19395220680 is an abundant number, since it is smaller than the sum of its proper divisors (53743969080).

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

19395220680 is a wasteful number, since it uses less digits than its factorization.

19395220680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 19395220680 in words is "nineteen billion, three hundred ninety-five million, two hundred twenty thousand, six hundred eighty".