Search a number
-
+
423593364051648 = 26337531076175153
BaseRepresentation
bin110000001010000011000001…
…1111111100101011011000000
32001112211010111212010211221000
41200110012003333211123000
5421010123202144123043
64100524034403332000
7155136416305310220
oct14024060377453300
92045733455124830
10423593364051648
11112a73a33a5076a
123b613294681000
13152488b524bc0b
1476860575b0080
1533e897ebbe2d3
hex1814183fe56c0

423593364051648 has 448 divisors, whose sum is σ = 1463588563921920. Its totient is φ = 117633385119744.

The previous prime is 423593364051643. The next prime is 423593364051653. The reversal of 423593364051648 is 846150463395324.

423593364051648 is a `hidden beast` number, since 4 + 2 + 3 + 5 + 9 + 3 + 36 + 40 + 516 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (423593364051643) and next prime (423593364051653).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4235933640516482 (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (423593364051643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65508840 + ... + 71683992.

Almost surely, 2423593364051648 is an apocalyptic number.

423593364051648 is a gapful number since it is divisible by the number (48) 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 423593364051648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731794281960960).

423593364051648 is an abundant number, since it is smaller than the sum of its proper divisors (1039995199870272).

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

423593364051648 is a wasteful number, since it uses less digits than its factorization.

423593364051648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175341 (or 6175325 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 423593364051648 in words is "four hundred twenty-three trillion, five hundred ninety-three billion, three hundred sixty-four million, fifty-one thousand, six hundred forty-eight".