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2654481216 = 26317977237
BaseRepresentation
bin1001111000111000…
…0010101101000000
320211222212121200010
42132032002231000
520414021344331
61115222424520
7122531501202
oct23616025500
96758777603
102654481216
111142427032
12620b92140
13333c39c5a
141b2784772
15108092e46
hex9e382b40

2654481216 has 56 divisors (see below), whose sum is σ = 7062642720. Its totient is φ = 879872512.

The previous prime is 2654481211. The next prime is 2654481217. The reversal of 2654481216 is 6121844562.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2654481211) 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 7 ways as a sum of consecutive naturals, for example, 4251 + ... + 72986.

It is an arithmetic number, because the mean of its divisors is an integer number (126118620).

Almost surely, 22654481216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2654481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531321360).

2654481216 is an abundant number, since it is smaller than the sum of its proper divisors (4408161504).

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

2654481216 is a wasteful number, since it uses less digits than its factorization.

2654481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77431 (or 77421 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 2654481216 is about 51521.6577373050. The cubic root of 2654481216 is about 1384.6070932989.

The spelling of 2654481216 in words is "two billion, six hundred fifty-four million, four hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1432 2148 2864 4296 5728 8592 11456 17184 34368 77237 154474 231711 308948 463422 617896 926844 1235792 1853688 2471584 3707376 4943168 7414752 13825423 14829504 27650846 41476269 55301692 82952538 110603384 165905076 221206768 331810152 442413536 663620304 884827072 1327240608 2654481216