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484640137921 = 263226472
BaseRepresentation
bin1110000110101101100…
…11011010001011000001
31201022221101220212120211
413003112303122023001
530420020333403141
61010350212034121
750004556126342
oct7032663321301
91638841825524
10484640137921
111775977a5805
1279b15002941
1336916ba49a4
14196572c60c9
15c917437d81
hex70d6cda2c1

484640137921 has 9 divisors (see below), whose sum is σ = 486673741281. Its totient is φ = 482615005572.

The previous prime is 484640137909. The next prime is 484640137951. The reversal of 484640137921 is 129731046484.

It is a happy number.

The square root of 484640137921 is 696161.

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

It is not a de Polignac number, because 484640137921 - 211 = 484640135873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (484640137951) 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 8 ways as a sum of consecutive naturals, for example, 183089020 + ... + 183091666.

Almost surely, 2484640137921 is an apocalyptic number.

484640137921 is the 696161-st square number.

484640137921 is the 348081-st centered octagonal number.

It is an amenable number.

484640137921 is a deficient number, since it is larger than the sum of its proper divisors (2033603360).

484640137921 is an frugal number, since it uses more digits than its factorization.

484640137921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 484640137921 by its sum of digits (49), we get a square (23747366758129 = 48731272).

The spelling of 484640137921 in words is "four hundred eighty-four billion, six hundred forty million, one hundred thirty-seven thousand, nine hundred twenty-one".

Divisors: 1 263 2647 69169 696161 7006609 183090343 1842738167 484640137921