Search a number
-
+
1896780707640 = 23335721319312151
BaseRepresentation
bin11011100110100000111…
…100001011011100111000
320201022220220112111211000
4123212200330023130320
5222034101330121030
64011211413205000
7254015664665400
oct33464074133470
96638826474730
101896780707640
11671469295795
12267738030760
13109b33abcb10
1467b3a061800
1534516333860
hex1b9a0f0b738

1896780707640 has 2304 divisors, whose sum is σ = 8672178816000. Its totient is φ = 364476672000.

The previous prime is 1896780707599. The next prime is 1896780707669. The reversal of 1896780707640 is 467070876981.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12561461565 + ... + 12561461715.

It is an arithmetic number, because the mean of its divisors is an integer number (3763966500).

Almost surely, 21896780707640 is an apocalyptic number.

1896780707640 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 1896780707640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336089408000).

1896780707640 is an abundant number, since it is smaller than the sum of its proper divisors (6775398108360).

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

1896780707640 is a wasteful number, since it uses less digits than its factorization.

1896780707640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 1896780707640 in words is "one trillion, eight hundred ninety-six billion, seven hundred eighty million, seven hundred seven thousand, six hundred forty".