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4456465216 = 26783119849
BaseRepresentation
bin1000010011010000…
…00100001101000000
3102111120121220000021
410021220010031000
533111323341331
62014113303224
7215302220650
oct41150041500
912446556007
104456465216
111987616305
12a44564b14
13560373088
14303c16360
151b138e211
hex109a04340

4456465216 has 56 divisors (see below), whose sum is σ = 10228478400. Its totient is φ = 1886886912.

The previous prime is 4456465213. The next prime is 4456465249. The reversal of 4456465216 is 6125646544.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456465213) 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, 22741 + ... + 97108.

It is an arithmetic number, because the mean of its divisors is an integer number (182651400).

Almost surely, 24456465216 is an apocalyptic number.

It is an amenable number.

4456465216 is an abundant number, since it is smaller than the sum of its proper divisors (5772013184).

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

4456465216 is a wasteful number, since it uses less digits than its factorization.

4456465216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119951 (or 119941 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The square root of 4456465216 is about 66756.7615751393. The cubic root of 4456465216 is about 1645.6223371201.

The spelling of 4456465216 in words is "four billion, four hundred fifty-six million, four hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 2324 2656 4648 5312 9296 18592 37184 119849 239698 479396 838943 958792 1677886 1917584 3355772 3835168 6711544 7670336 9947467 13423088 19894934 26846176 39789868 53692352 69632269 79579736 139264538 159159472 278529076 318318944 557058152 636637888 1114116304 2228232608 4456465216