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2354831426116 = 22132590212
BaseRepresentation
bin100010010001000110111…
…001000000001001000100
322100010020020202221000001
4202101012321000021010
5302040143321113431
65001443345531044
7332062626601531
oct42210671001104
98303206687001
102354831426116
11828750a4a084
12320470343a84
131410a108b400
1481d8dc61d88
15413c4289e61
hex22446e40244

2354831426116 has 27 divisors (see below), whose sum is σ = 4462411490103. Its totient is φ = 1086826859040.

The previous prime is 2354831426113. The next prime is 2354831426137. The reversal of 2354831426116 is 6116241384532.

The square root of 2354831426116 is 1534546.

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

It can be written as a sum of positive squares in 4 ways, for example, as 732000024900 + 1622831401216 = 855570^2 + 1273904^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2354831426113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39868686 + ... + 39927706.

Almost surely, 22354831426116 is an apocalyptic number.

2354831426116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2354831426116 is the 1534546-th square number.

It is an amenable number.

2354831426116 is a deficient number, since it is larger than the sum of its proper divisors (2107580063987).

2354831426116 is an frugal number, since it uses more digits than its factorization.

2354831426116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118072 (or 59036 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

It can be divided in two parts, 23548 and 31426116, that added together give a square (31449664 = 56082).

The spelling of 2354831426116 in words is "two trillion, three hundred fifty-four billion, eight hundred thirty-one million, four hundred twenty-six thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 52 169 338 676 59021 118042 236084 767273 1534546 3069092 9974549 19949098 39898196 3483478441 6966956882 13933913764 45285219733 90570439466 181140878932 588707856529 1177415713058 2354831426116