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4229056512 = 211324792
BaseRepresentation
bin1111110000010010…
…0100100000000000
3101220201201022220200
43330010210200000
532130114302022
61535351205200
7206541246552
oct37404444000
911821638820
104229056512
11188021282a
129a0376800
13525210405
142c193b4d2
1519b41dbac
hexfc124800

4229056512 has 108 divisors (see below), whose sum is σ = 12239844435. Its totient is φ = 1406742528.

The previous prime is 4229056471. The next prime is 4229056523. The reversal of 4229056512 is 2156509224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4229056512 is a `hidden beast` number, since 4 + 2 + 2 + 90 + 56 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2114528256 + 2114528256 = 45984^2 + 45984^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45984.

It is a super-2 number, since 2×42290565122 = 35769837963379212288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8828689 + ... + 8829167.

Almost surely, 24229056512 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 4229056512

4229056512 is an abundant number, since it is smaller than the sum of its proper divisors (8010787923).

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

4229056512 is an frugal number, since it uses more digits than its factorization.

4229056512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4229056512 is about 65031.1964521644. The cubic root of 4229056512 is about 1617.1407819251.

The spelling of 4229056512 in words is "four billion, two hundred twenty-nine million, fifty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 479 512 576 768 958 1024 1152 1437 1536 1916 2048 2304 2874 3072 3832 4311 4608 5748 6144 7664 8622 9216 11496 15328 17244 18432 22992 30656 34488 45984 61312 68976 91968 122624 137952 183936 229441 245248 275904 367872 458882 490496 551808 688323 735744 917764 980992 1103616 1376646 1471488 1835528 2064969 2207232 2753292 2942976 3671056 4129938 4414464 5506584 7342112 8259876 8828928 11013168 14684224 16519752 22026336 29368448 33039504 44052672 58736896 66079008 88105344 117473792 132158016 176210688 234947584 264316032 352421376 469895168 528632064 704842752 1057264128 1409685504 2114528256 4229056512