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4413983856 = 243314576491
BaseRepresentation
bin1000001110001100…
…00000110001110000
3102101121200121112120
410013012000301300
533014434440411
62005554554240
7214245146412
oct40706006160
912347617476
104413983856
111965640447
12a32298980
1355461ac89
142dc3189b2
151ac79c106
hex107180c70

4413983856 has 80 divisors (see below), whose sum is σ = 11798197248. Its totient is φ = 1420531200.

The previous prime is 4413983839. The next prime is 4413983867. The reversal of 4413983856 is 6583893144.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4413983799 and 4413983808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676771 + ... + 683261.

Almost surely, 24413983856 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 4413983856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899098624).

4413983856 is an abundant number, since it is smaller than the sum of its proper divisors (7384213392).

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

4413983856 is a wasteful number, since it uses less digits than its factorization.

4413983856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6990 (or 6984 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 4413983856 is about 66437.8194705395. The cubic root of 4413983856 is about 1640.3766555063.

The spelling of 4413983856 in words is "four billion, four hundred thirteen million, nine hundred eighty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 457 496 744 914 1371 1488 1828 2742 3656 5484 6491 7312 10968 12982 14167 19473 21936 25964 28334 38946 42501 51928 56668 77892 85002 103856 113336 155784 170004 201221 226672 311568 340008 402442 603663 680016 804884 1207326 1609768 2414652 2966387 3219536 4829304 5932774 8899161 9658608 11865548 17798322 23731096 35596644 47462192 71193288 91957997 142386576 183915994 275873991 367831988 551747982 735663976 1103495964 1471327952 2206991928 4413983856