Search a number
-
+
969522555008 = 2772124332
BaseRepresentation
bin11100001101111000000…
…11000010100010000000
310102200111200201210201002
432012330003002202000
5111341040233230013
62021220441031132
7130021446513200
oct16067403024200
93380450653632
10969522555008
11344199230427
12137a971854a8
137056c017a17
1434cd4838400
151a345c7c358
hexe1bc0c2880

969522555008 has 72 divisors (see below), whose sum is σ = 2246993600805. Its totient is φ = 415476246528.

The previous prime is 969522555007. The next prime is 969522555011. The reversal of 969522555008 is 800555225969.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 811570360384 + 157952194624 = 900872^2 + 397432^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=696248.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (969522555007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77973560 + ... + 77985992.

Almost surely, 2969522555008 is an apocalyptic number.

969522555008 is a gapful number since it is divisible by the number (98) 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 969522555008

969522555008 is an abundant number, since it is smaller than the sum of its proper divisors (1277471045797).

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

969522555008 is an frugal number, since it uses more digits than its factorization.

969522555008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24894 (or 12442 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 56.

The spelling of 969522555008 in words is "nine hundred sixty-nine billion, five hundred twenty-two million, five hundred fifty-five thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 12433 24866 49732 87031 99464 174062 198928 348124 397856 609217 696248 795712 1218434 1392496 1591424 2436868 2784992 4873736 5569984 9747472 11139968 19494944 38989888 77979776 154579489 309158978 618317956 1082056423 1236635912 2164112846 2473271824 4328225692 4946543648 7574394961 8656451384 9893087296 15148789922 17312902768 19786174592 30297579844 34625805536 60595159688 69251611072 121190319376 138503222144 242380638752 484761277504 969522555008