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16053156076321 = 72132440292
BaseRepresentation
bin1110100110011010101010…
…1010100101101100100001
32002211200000001022021011001
43221212222222211230201
54101003330423420241
654050415035152001
73244542113142100
oct351465252455441
962750001267131
1016053156076321
11512a118111361
1219732615a5601
138c5a63088100
143d6d96882037
151cc8a5894431
hexe99aaaa5b21

16053156076321 has 27 divisors (see below), whose sum is σ = 20221503961401. Its totient is φ = 12701109736224.

The previous prime is 16053156076303. The next prime is 16053156076339. The reversal of 16053156076321 is 12367065135061.

The square root of 16053156076321 is 4006639.

It is a perfect power (a square), and thus also a powerful number.

16053156076321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16053156076303) and next prime (16053156076339).

It can be written as a sum of positive squares in 4 ways, for example, as 9186324501025 + 6866831575296 = 3030895^2 + 2620464^2 .

It is not a de Polignac number, because 16053156076321 - 25 = 16053156076289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16053156076301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 364582135 + ... + 364626163.

It is an arithmetic number, because the mean of its divisors is an integer number (748944591163).

Almost surely, 216053156076321 is an apocalyptic number.

16053156076321 is the 4006639-th square number.

16053156076321 is the 2003320-th centered octagonal number.

It is an amenable number.

16053156076321 is a deficient number, since it is larger than the sum of its proper divisors (4168347885080).

16053156076321 is an frugal number, since it uses more digits than its factorization.

16053156076321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88098 (or 44049 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 16053156076321 in words is "sixteen trillion, fifty-three billion, one hundred fifty-six million, seventy-six thousand, three hundred twenty-one".

Divisors: 1 7 13 49 91 169 637 1183 8281 44029 308203 572377 2157421 4006639 7440901 28046473 52086307 364604149 1938552841 13569869887 25201186933 94989089209 176408308531 327615430129 1234858159717 2293308010903 16053156076321