Search a number
-
+
19655000801280 = 214385132997
BaseRepresentation
bin1000111100000010010010…
…10101110100000000000000
32120120222222210121100000000
410132001021111310000000
510034011420201120110
6105445214400000000
74066012146146115
oct436011125640000
976528883540000
1019655000801280
116298703602809
122255330000000
13ac75c6794930
144bd442a1890c
15241411d961c0
hex11e049574000

19655000801280 has 2160 divisors, whose sum is σ = 79634733207120. Its totient is φ = 4623163195392.

The previous prime is 19655000801273. The next prime is 19655000801297. The reversal of 19655000801280 is 8210800055691.

It is a happy number.

19655000801280 is a `hidden beast` number, since 1 + 9 + 6 + 550 + 0 + 0 + 8 + 0 + 12 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1496766283776 + 18158234517504 = 1223424^2 + 4261248^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a zygodrome in base 12.

It is a congruent number.

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, 202628874192 + ... + 202628874288.

Almost surely, 219655000801280 is an apocalyptic number.

19655000801280 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 19655000801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39817366603560).

19655000801280 is an abundant number, since it is smaller than the sum of its proper divisors (59979732405840).

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

19655000801280 is an frugal number, since it uses more digits than its factorization.

19655000801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 19655000801280 in words is "nineteen trillion, six hundred fifty-five billion, eight hundred one thousand, two hundred eighty".