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8443138068 = 22322911371569
BaseRepresentation
bin1111101110100000…
…00001000000010100
3210210102020212001100
413313100001000110
5114242420404233
63513445430100
7416141326611
oct76720010024
923712225040
108443138068
113642a27662
12177770b330
13a472a96b1
145a149b508
15346380813
hex1f7401014

8443138068 has 72 divisors (see below), whose sum is σ = 22274015400. Its totient is φ = 2693246976.

The previous prime is 8443138063. The next prime is 8443138079. The reversal of 8443138068 is 8608313448.

8443138068 is a `hidden beast` number, since 84 + 431 + 3 + 80 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 452923524 + 7990214544 = 21282^2 + 89388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8443138063) 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, 82188 + ... + 153756.

It is an arithmetic number, because the mean of its divisors is an integer number (309361325).

Almost surely, 28443138068 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 8443138068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11137007700).

8443138068 is an abundant number, since it is smaller than the sum of its proper divisors (13830877332).

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

8443138068 is a wasteful number, since it uses less digits than its factorization.

8443138068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71721 (or 71716 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8443138068 is about 91886.5499842061. The cubic root of 8443138068 is about 2036.2665654406.

The spelling of 8443138068 in words is "eight billion, four hundred forty-three million, one hundred thirty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 113 116 174 226 261 339 348 452 522 678 1017 1044 1356 2034 3277 4068 6554 9831 13108 19662 29493 39324 58986 71569 117972 143138 214707 286276 429414 644121 858828 1288242 2075501 2576484 4151002 6226503 8087297 8302004 12453006 16174594 18679509 24261891 24906012 32349188 37359018 48523782 72785673 74718036 97047564 145571346 234531613 291142692 469063226 703594839 938126452 1407189678 2110784517 2814379356 4221569034 8443138068