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15270611664169 = 73219922692
BaseRepresentation
bin1101111000110111011101…
…1000100011110100101001
32000001212010011221021010001
43132031313120203310221
54000143203041223134
652251115552423001
73134156664322531
oct336156730436451
960055104837101
1015270611664169
1149582591a9124
121867668b47a61
1386a021607054
143ab15c9104c1
151b7354c6d414
hexde377623d29

15270611664169 has 27 divisors (see below), whose sum is σ = 15618919086693. Its totient is φ = 14930030579904.

The previous prime is 15270611664157. The next prime is 15270611664181. The reversal of 15270611664169 is 96146611607251.

The square root of 15270611664169 is 3907763.

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

It is an interprime number because it is at equal distance from previous prime (15270611664157) and next prime (15270611664181).

It can be written as a sum of positive squares in 4 ways, for example, as 2987072739225 + 12283538924944 = 1728315^2 + 3504788^2 .

It is a de Polignac number, because none of the positive numbers 2k-15270611664169 is a prime.

It is a super-2 number, since 2×152706116641692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15270611604169) 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, 56768072967 + ... + 56768073235.

Almost surely, 215270611664169 is an apocalyptic number.

15270611664169 is the 3907763-rd square number.

15270611664169 is the 1953882-nd centered octagonal number.

It is an amenable number.

15270611664169 is a deficient number, since it is larger than the sum of its proper divisors (348307422524).

15270611664169 is an frugal number, since it uses more digits than its factorization.

15270611664169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 15270611664169 in words is "fifteen trillion, two hundred seventy billion, six hundred eleven million, six hundred sixty-four thousand, one hundred sixty-nine".

Divisors: 1 73 199 269 5329 14527 19637 39601 53531 72361 1060471 1433501 2890873 3907763 5282353 10652669 14399839 211033729 285266699 385611769 777644837 1051188247 2865567961 56768073101 76736742031 209186461153 15270611664169