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67443411644 = 22723117962011
BaseRepresentation
bin111110110011111100…
…001100101010111100
320110002020200021221222
4332303330030222330
52101111003133034
650552202212512
74605211353200
oct766374145274
9213066607858
1067443411644
112666a058434
12110a27b4138
13648a89408b
14339b274b00
151b4ae5812e
hexfb3f0cabc

67443411644 has 72 divisors (see below), whose sum is σ = 142518458880. Its totient is φ = 27815205600.

The previous prime is 67443411643. The next prime is 67443411647. The reversal of 67443411644 is 44611434476.

It is a super-2 number, since 2×674434116442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67443411595 and 67443411604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67443411641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056599 + ... + 1118609.

It is an arithmetic number, because the mean of its divisors is an integer number (1979423040).

Almost surely, 267443411644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67443411644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71259229440).

67443411644 is an abundant number, since it is smaller than the sum of its proper divisors (75075047236).

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

67443411644 is a wasteful number, since it uses less digits than its factorization.

67443411644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62239 (or 62230 counting only the distinct ones).

The product of its digits is 774144, while the sum is 44.

The spelling of 67443411644 in words is "sixty-seven billion, four hundred forty-three million, four hundred eleven thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 179 196 217 358 434 716 868 1253 1519 2506 3038 5012 5549 6076 8771 11098 17542 22196 35084 38843 62011 77686 124022 155372 248044 271901 434077 543802 868154 1087604 1736308 1922341 3038539 3844682 6077078 7689364 11099969 12154156 13456387 22199938 26912774 44399876 53825548 77699783 94194709 155399566 188389418 310799132 344099039 376778836 543898481 688198078 1087796962 1376396156 2175593924 2408693273 4817386546 9634773092 16860852911 33721705822 67443411644