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15516674252641 = 172139216672
BaseRepresentation
bin1110000111001100000111…
…0110110101111101100001
32000221101020201002220000201
43201303001312311331201
54013211122102041031
653000132311545201
73161020436653432
oct341630166657541
960841221086021
1015516674252641
114a42648107861
1218a729a98b201
138872a6a19723
143b9022421489
151bd957076d61
hexe1cc1db5f61

15516674252641 has 27 divisors (see below), whose sum is σ = 16612512871539. Its totient is φ = 14490166893888.

The previous prime is 15516674252603. The next prime is 15516674252669. The reversal of 15516674252641 is 14625247661551.

The square root of 15516674252641 is 3939121.

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

It can be written as a sum of positive squares in only one way, i.e., 12080455733025 + 3436218519616 = 3475695^2 + 1853704^2 .

It is not a de Polignac number, because 15516674252641 - 29 = 15516674252129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15516674252941) 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, 9308142090 + ... + 9308143756.

Almost surely, 215516674252641 is an apocalyptic number.

15516674252641 is the 3939121-st square number.

15516674252641 is the 1969561-st centered octagonal number.

It is an amenable number.

15516674252641 is a deficient number, since it is larger than the sum of its proper divisors (1095838618898).

15516674252641 is an frugal number, since it uses more digits than its factorization.

15516674252641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 1823 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 55.

The spelling of 15516674252641 in words is "fifteen trillion, five hundred sixteen billion, six hundred seventy-four million, two hundred fifty-two thousand, six hundred forty-one".

Divisors: 1 17 139 289 1667 2363 19321 28339 40171 231713 328457 481763 2778889 3939121 5583769 32208107 47241113 66965057 386265571 547537819 803098921 6566514707 9308142923 53690914369 111630750019 912745544273 15516674252641