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2051738247321 = 3272682092
BaseRepresentation
bin11101110110110101001…
…000010010000010011001
321021010220011111010122100
4131312311020102002121
5232103424442403241
64210315555114013
7301142662231200
oct35666510220231
97233804433570
102051738247321
1172115682a874
12291782ba2909
1311b62a4824b9
1471439dc0237
153858527d9b6
hex1ddb5212099

2051738247321 has 27 divisors (see below), whose sum is σ = 3447529095231. Its totient is φ = 1172404666944.

The previous prime is 2051738247269. The next prime is 2051738247337. The reversal of 2051738247321 is 1237428371502.

The square root of 2051738247321 is 1432389.

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

2051738247321 is a `hidden beast` number, since 2 + 0 + 5 + 173 + 8 + 2 + 473 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 973795949721 + 1077942297600 = 986811^2 + 1038240^2 .

It is not a de Polignac number, because 2051738247321 - 29 = 2051738246809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2051738247371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30046065 + ... + 30114273.

Almost surely, 22051738247321 is an apocalyptic number.

2051738247321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2051738247321 is the 1432389-th square number.

2051738247321 is the 716195-th centered octagonal number.

It is an amenable number.

2051738247321 is a deficient number, since it is larger than the sum of its proper divisors (1395790847910).

2051738247321 is an frugal number, since it uses more digits than its factorization.

2051738247321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136438 (or 68219 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2051738247321 in words is "two trillion, fifty-one billion, seven hundred thirty-eight million, two hundred forty-seven thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 68209 204627 477463 613881 1432389 3342241 4297167 10026723 30080169 4652467681 13957403043 32567273767 41872209129 97701821301 227970916369 293105463903 683912749107 2051738247321