Search a number
-
+
19585039220670 = 235711219277146449
BaseRepresentation
bin1000111001111111111110…
…10011100011111110111110
32120100022102001112210121210
410130333333103203332332
510031340130020030140
6105353124240305250
74060654346422260
oct434777723437676
976308361483553
1019585039220670
116270a72071800
122243866012226
13ac0b272ac561
144b9cc7163b30
1523e6b9d23d80
hex11cfff4e3fbe

19585039220670 has 384 divisors, whose sum is σ = 62378983296000. Its totient is φ = 3841483345920.

The previous prime is 19585039220657. The next prime is 19585039220683. The reversal of 19585039220670 is 7602293058591.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19585039220657) and next prime (19585039220683).

It is a super-2 number, since 2×195850392206702 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 19585039220670.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133659606 + ... + 133806054.

It is an arithmetic number, because the mean of its divisors is an integer number (162445269000).

Almost surely, 219585039220670 is an apocalyptic number.

19585039220670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19585039220670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31189491648000).

19585039220670 is an abundant number, since it is smaller than the sum of its proper divisors (42793944075330).

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

19585039220670 is a wasteful number, since it uses less digits than its factorization.

19585039220670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146784 (or 146773 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 19585039220670 in words is "nineteen trillion, five hundred eighty-five billion, thirty-nine million, two hundred twenty thousand, six hundred seventy".