Search a number
-
+
2035214897688 = 233472431490633
BaseRepresentation
bin11101100111011100010…
…000101101001000011000
321012120020121220000010000
4131213130100231020120
5231321110003211223
64154544222253000
7300016344124200
oct35473420551030
97176217800100
102035214897688
1171514782a715
1228a531427160
13119bc615a23b
147070d739400
1537e1985b543
hex1d9dc42d218

2035214897688 has 240 divisors, whose sum is σ = 6785395780680. Its totient is φ = 567966567168.

The previous prime is 2035214897687. The next prime is 2035214897693. The reversal of 2035214897688 is 8867984125302.

2035214897688 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 2 + 1 + 489 + 76 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2035214897687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 620020 + ... + 2110652.

It is a 1-persistent number, because it is pandigital, but 2⋅2035214897688 = 4070429795376 is not.

Almost surely, 22035214897688 is an apocalyptic number.

2035214897688 is a gapful number since it is divisible by the number (28) 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 2035214897688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392697890340).

2035214897688 is an abundant number, since it is smaller than the sum of its proper divisors (4750180882992).

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

2035214897688 is a wasteful number, since it uses less digits than its factorization.

2035214897688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490708 (or 1490688 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2035214897688 in words is "two trillion, thirty-five billion, two hundred fourteen million, eight hundred ninety-seven thousand, six hundred eighty-eight".