Search a number
-
+
412572543344640 = 21338572171997
BaseRepresentation
bin101110111001110111000011…
…1111000111110000000000000
32000002210112211220122200000000
41131303232013320332000000
5413034042032044012030
64021245113200000000
7152621245143041100
oct13563560770760000
92002715756580000
10412572543344640
1110a50503aa79488
123a3333a6000000
13149295683ca1b3
1473c4890b57200
1532a6e5a6d1860
hex1773b87e3e000

412572543344640 has 6048 divisors, whose sum is σ = 1945303398773280. Its totient is φ = 83216937517056.

The previous prime is 412572543344629. The next prime is 412572543344641. The reversal of 412572543344640 is 46443345275214.

412572543344640 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 7 + 2 + 543 + 34 + 4 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×4125725433446402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412572543344641) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4253325189072 + ... + 4253325189168.

It is an arithmetic number, because the mean of its divisors is an integer number (321644080485).

Almost surely, 2412572543344640 is an apocalyptic number.

412572543344640 is a gapful number since it is divisible by the number (40) 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 412572543344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972651699386640).

412572543344640 is an abundant number, since it is smaller than the sum of its proper divisors (1532730855428640).

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

412572543344640 is an frugal number, since it uses more digits than its factorization.

412572543344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 54.

The spelling of 412572543344640 in words is "four hundred twelve trillion, five hundred seventy-two billion, five hundred forty-three million, three hundred forty-four thousand, six hundred forty".