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4645364416 = 267111949613
BaseRepresentation
bin1000101001110001…
…01010001011000000
3102222202001221222221
410110320222023000
534003203130131
62044542140424
7223054642330
oct42470521300
912882057887
104645364416
111a74207050
12a97881714
13590541754
14320d490c0
151c2c54411
hex114e2a2c0

4645364416 has 112 divisors (see below), whose sum is σ = 12097877760. Its totient is φ = 1714590720.

The previous prime is 4645364401. The next prime is 4645364419. The reversal of 4645364416 is 6144635464.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4645364419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68826 + ... + 118438.

Almost surely, 24645364416 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 4645364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048938880).

4645364416 is an abundant number, since it is smaller than the sum of its proper divisors (7452513344).

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

4645364416 is a wasteful number, since it uses less digits than its factorization.

4645364416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49662 (or 49652 counting only the distinct ones).

The product of its digits is 829440, while the sum is 43.

The square root of 4645364416 is about 68156.9102586084. The cubic root of 4645364416 is about 1668.5527059396.

The spelling of 4645364416 in words is "four billion, six hundred forty-five million, three hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 448 532 608 616 704 836 1064 1216 1232 1463 1672 2128 2464 2926 3344 4256 4928 5852 6688 8512 11704 13376 23408 46816 49613 93632 99226 198452 347291 396904 545743 694582 793808 942647 1091486 1389164 1587616 1885294 2182972 2778328 3175232 3770588 3820201 4365944 5556656 6598529 7541176 7640402 8731888 10369117 11113312 13197058 15082352 15280804 17463776 20738234 22226624 26394116 30164704 30561608 34927552 41476468 52788232 60329408 61123216 72583819 82952936 105576464 122246432 145167638 165905872 211152928 244492864 290335276 331811744 422305856 580670552 663623488 1161341104 2322682208 4645364416