Search a number
-
+
18474654464 = 28747921523
BaseRepresentation
bin10001001101001011…
…001101101100000000
31202200112022200112122
4101031023031230000
5300314002420324
612253115543412
71222550654240
oct211513155400
952615280478
1018474654464
117920508382
1236b715ab68
131985680106
14c738a5b20
15731db6a5e
hex44d2cdb00

18474654464 has 72 divisors (see below), whose sum is σ = 42235253760. Its totient is φ = 7900812288.

The previous prime is 18474654449. The next prime is 18474654467. The reversal of 18474654464 is 46445647481.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18474654467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 847607 + ... + 869129.

Almost surely, 218474654464 is an apocalyptic number.

18474654464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18474654464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21117626880).

18474654464 is an abundant number, since it is smaller than the sum of its proper divisors (23760599296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18474654464 is an equidigital number, since it uses as much as digits as its factorization.

18474654464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22025 (or 22011 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 53.

The spelling of 18474654464 in words is "eighteen billion, four hundred seventy-four million, six hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 479 896 958 1792 1916 3353 3832 6706 7664 13412 15328 21523 26824 30656 43046 53648 61312 86092 107296 122624 150661 172184 214592 301322 344368 429184 602644 688736 858368 1205288 1377472 2410576 2754944 4821152 5509888 9642304 10309517 19284608 20619034 38569216 41238068 72166619 82476136 144333238 164952272 288666476 329904544 577332952 659809088 1154665904 1319618176 2309331808 2639236352 4618663616 9237327232 18474654464