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2315464641 = 327791393347
BaseRepresentation
bin1000101000000011…
…0010111111000001
312222100221210100200
42022000302333001
514220224332031
61021432235413
7111244060530
oct21200627701
95870853320
102315464641
11a89023946
1254753bb69
132ab92b129
1417d736317
15d84288e6
hex8a032fc1

2315464641 has 48 divisors (see below), whose sum is σ = 3899750400. Its totient is φ = 1296588384.

The previous prime is 2315464639. The next prime is 2315464687. The reversal of 2315464641 is 1464645132.

2315464641 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 4 + 6 + 4 + 641 = 666.

It is not a de Polignac number, because 2315464641 - 21 = 2315464639 is a prime.

It is a super-2 number, since 2×23154646412 = 10722753007442517762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2315464596 and 2315464605.

It is not an unprimeable number, because it can be changed into a prime (2315464631) 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 47 ways as a sum of consecutive naturals, for example, 690130 + ... + 693476.

It is an arithmetic number, because the mean of its divisors is an integer number (81244800).

Almost surely, 22315464641 is an apocalyptic number.

2315464641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2315464641 is a deficient number, since it is larger than the sum of its proper divisors (1584285759).

2315464641 is a wasteful number, since it uses less digits than its factorization.

2315464641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3575 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2315464641 is about 48119.2751504010. The cubic root of 2315464641 is about 1322.9579825646.

The spelling of 2315464641 in words is "two billion, three hundred fifteen million, four hundred sixty-four thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 63 79 139 237 417 553 711 973 1251 1659 2919 3347 4977 8757 10041 10981 23429 30123 32943 70287 76867 98829 210861 230601 264413 465233 691803 793239 1395699 1850891 2379717 3256631 4187097 5552673 9769893 16658019 29309679 36753407 110260221 257273849 330780663 771821547 2315464641