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7006796424 = 23321091137901
BaseRepresentation
bin1101000011010001…
…10011101010001000
3200002022112010201200
412201220303222020
5103322214441144
63115135544200
7335430533625
oct64150635210
920068463650
107006796424
112a76176951
12143668b060
138788455b4
144a680934c
152b020cc69
hex1a1a33a88

7006796424 has 96 divisors (see below), whose sum is σ = 19322760600. Its totient is φ = 2293401600.

The previous prime is 7006796389. The next prime is 7006796431. The reversal of 7006796424 is 4246976007.

It can be written as a sum of positive squares in 4 ways, for example, as 5266404900 + 1740391524 = 72570^2 + 41718^2 .

It is a super-2 number, since 2×70067964242 = 98190392254758375552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7006796424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882874 + ... + 890774.

Almost surely, 27006796424 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 7006796424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9661380300).

7006796424 is an abundant number, since it is smaller than the sum of its proper divisors (12315964176).

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

7006796424 is a wasteful number, since it uses less digits than its factorization.

7006796424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8135 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7006796424 is about 83706.6092014245. The cubic root of 7006796424 is about 1913.5500821060.

The spelling of 7006796424 in words is "seven billion, six million, seven hundred ninety-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 113 218 226 327 339 436 452 654 678 872 904 981 1017 1308 1356 1962 2034 2616 2712 3924 4068 7848 7901 8136 12317 15802 23703 24634 31604 36951 47406 49268 63208 71109 73902 94812 98536 110853 142218 147804 189624 221706 284436 295608 443412 568872 861209 886824 892813 1722418 1785626 2583627 2678439 3444836 3571252 5167254 5356878 6889672 7142504 7750881 8035317 10334508 10713756 15501762 16070634 20669016 21427512 31003524 32141268 62007048 64282536 97316617 194633234 291949851 389266468 583899702 778532936 875849553 1167799404 1751699106 2335598808 3503398212 7006796424