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913555551601 = 72112124132
BaseRepresentation
bin11010100101101000010…
…01110111010101110001
310020100001020221110020001
431102310021313111301
5104431430210122401
61535403121550001
7123000521031100
oct15226411672561
93210036843201
10913555551601
11322489324400
12129077aa5301
13681bcc93164
1432305848037
1518b6c61b601
hexd4b4277571

913555551601 has 27 divisors (see below), whose sum is σ = 1168194066123. Its totient is φ = 711804120720.

The previous prime is 913555551599. The next prime is 913555551673. The reversal of 913555551601 is 106155555319.

The square root of 913555551601 is 955801.

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., 273753936225 + 639801615376 = 523215^2 + 799876^2 .

It is not a de Polignac number, because 913555551601 - 21 = 913555551599 is a prime.

It is a super-2 number, since 2×9135555516012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (913555551101) 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, 73590471 + ... + 73602883.

Almost surely, 2913555551601 is an apocalyptic number.

913555551601 is the 955801-st square number.

913555551601 is the 477901-st centered octagonal number.

It is an amenable number.

913555551601 is a deficient number, since it is larger than the sum of its proper divisors (254638514522).

913555551601 is an frugal number, since it uses more digits than its factorization.

913555551601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24862 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 506250, while the sum is 46.

The spelling of 913555551601 in words is "nine hundred thirteen billion, five hundred fifty-five million, five hundred fifty-one thousand, six hundred one".

Divisors: 1 7 11 49 77 121 539 847 5929 12413 86891 136543 608237 955801 1501973 6690607 10513811 73596677 154082569 1078577983 1694908259 7550045881 11864357813 18643990849 83050504691 130507935943 913555551601