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93426201649 = 1123727512
BaseRepresentation
bin101011100000010100…
…0101011010000110001
322221011000212210012201
41113000220223100301
53012314101423044
6110530331423201
76515121416434
oct1270050532061
9287130783181
1093426201649
1136692723100
12161342b4b01
138a6b8c0231
144743d6981b
15266c05c7d4
hex15c0a2b431

93426201649 has 27 divisors (see below), whose sum is σ = 105682793643. Its totient is φ = 82527390000.

The previous prime is 93426201607. The next prime is 93426201683. The reversal of 93426201649 is 94610262439.

The square root of 93426201649 is 305657.

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., 83599048225 + 9827153424 = 289135^2 + 99132^2 .

It is not a de Polignac number, because 93426201649 - 221 = 93424104497 is a prime.

It is a super-2 number, since 2×934262016492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 93426201599 and 93426201608.

It is not an unprimeable number, because it can be changed into a prime (93426201049) 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, 124402024 + ... + 124402774.

Almost surely, 293426201649 is an apocalyptic number.

93426201649 is the 305657-th square number.

93426201649 is the 152829-th centered octagonal number.

It is an amenable number.

93426201649 is a deficient number, since it is larger than the sum of its proper divisors (12256591994).

93426201649 is an frugal number, since it uses more digits than its factorization.

93426201649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 93426201649 in words is "ninety-three billion, four hundred twenty-six million, two hundred one thousand, six hundred forty-nine".

Divisors: 1 11 37 121 407 751 1369 4477 8261 15059 27787 90871 165649 305657 564001 1028119 3362227 6204011 11309309 20868037 68244121 124402399 229548407 772117369 2525032477 8493291059 93426201649