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1052146511163 = 321131333954449
BaseRepresentation
bin11110100111110001101…
…00011010110100111011
310201120202220021122212100
433103320310122310323
5114214244001324123
62123203251114443
7136005112532556
oct17237064326473
93646686248770
101052146511163
11376238304610
1214bab58a2a23
13782a895c7c7
1438cd1c8d69d
151c57e7ae643
hexf4f8d1ad3b

1052146511163 has 24 divisors (see below), whose sum is σ = 1663224778800. Its totient is φ = 635627266560.

The previous prime is 1052146511159. The next prime is 1052146511197. The reversal of 1052146511163 is 3611156412501.

1052146511163 is a `hidden beast` number, since 1 + 0 + 5 + 21 + 465 + 11 + 163 = 666.

It is not a de Polignac number, because 1052146511163 - 22 = 1052146511159 is a prime.

It is a super-2 number, since 2×10521465111632 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052146511123) 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, 16946238 + ... + 17008211.

It is an arithmetic number, because the mean of its divisors is an integer number (69301032450).

Almost surely, 21052146511163 is an apocalyptic number.

1052146511163 is a deficient number, since it is larger than the sum of its proper divisors (611078267637).

1052146511163 is a wasteful number, since it uses less digits than its factorization.

1052146511163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33954779 (or 33954776 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1052146511163 in words is "one trillion, fifty-two billion, one hundred forty-six million, five hundred eleven thousand, one hundred sixty-three".

Divisors: 1 3 9 11 33 99 313 939 2817 3443 10329 30987 33954449 101863347 305590041 373498939 1120496817 3361490451 10627742537 31883227611 95649682833 116905167907 350715503721 1052146511163