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4257007722 = 23211219102871
BaseRepresentation
bin1111110110111100…
…1100100001101010
3101222200022101202200
43331233030201222
532204243221342
61542230241030
7210330653142
oct37557144152
911880271680
104257007722
111894a73a00
129a97b6176
1352ac489a6
142c5535922
1519dae094c
hexfdbcc86a

4257007722 has 72 divisors (see below), whose sum is σ = 10671941280. Its totient is φ = 1222095600.

The previous prime is 4257007717. The next prime is 4257007747. The reversal of 4257007722 is 2277007524.

It is a super-2 number, since 2×42570077222 = 36244229490335258568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10054 + ... + 92817.

Almost surely, 24257007722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4257007722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335970640).

4257007722 is an abundant number, since it is smaller than the sum of its proper divisors (6414933558).

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

4257007722 is a wasteful number, since it uses less digits than its factorization.

4257007722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102920 (or 102906 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 4257007722 is about 65245.7486890908. The cubic root of 4257007722 is about 1620.6956979937.

The spelling of 4257007722 in words is "four billion, two hundred fifty-seven million, seven thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1881 2178 2299 3762 4598 6897 13794 20691 41382 102871 205742 308613 617226 925839 1131581 1851678 1954549 2263162 3394743 3909098 5863647 6789486 10184229 11727294 12447391 17590941 20368458 21500039 24894782 35181882 37342173 43000078 64500117 74684346 112026519 129000234 193500351 224053038 236500429 387000702 473000858 709501287 1419002574 2128503861 4257007722