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479624431616 = 2111129734143
BaseRepresentation
bin1101111101010111101…
…10000000100000000000
31200211222211222121000122
412332223312000200000
530324232323302431
61004200400035412
746436353255031
oct6765366004000
91624884877018
10479624431616
11175453540390
1278b55302b68
13362c7a07135
14192dd0d6a88
15c721e2ca7b
hex6fabd80800

479624431616 has 96 divisors (see below), whose sum is σ = 1082275084800. Its totient is φ = 210493194240.

The previous prime is 479624431613. The next prime is 479624431619. The reversal of 479624431616 is 616134426974.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (479624431613) and next prime (479624431619).

It is not an unprimeable number, because it can be changed into a prime (479624431613) 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, 286241 + ... + 1020383.

It is an arithmetic number, because the mean of its divisors is an integer number (11273698800).

Almost surely, 2479624431616 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 479624431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541137542400).

479624431616 is an abundant number, since it is smaller than the sum of its proper divisors (602650653184).

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

479624431616 is a wasteful number, since it uses less digits than its factorization.

479624431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734205 (or 734185 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 53.

The spelling of 479624431616 in words is "four hundred seventy-nine billion, six hundred twenty-four million, four hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 638 704 928 1024 1276 1408 1856 2048 2552 2816 3712 5104 5632 7424 10208 11264 14848 20416 22528 29696 40832 59392 81664 163328 326656 653312 734143 1468286 2936572 5873144 8075573 11746288 16151146 21290147 23492576 32302292 42580294 46985152 64604584 85160588 93970304 129209168 170321176 187940608 234191617 258418336 340642352 375881216 468383234 516836672 681284704 751762432 936766468 1033673344 1362569408 1503524864 1873532936 2067346688 2725138816 3747065872 4134693376 5450277632 7494131744 8269386752 10900555264 14988263488 16538773504 21801110528 29976526976 43602221056 59953053952 119906107904 239812215808 479624431616