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8400012426 = 23213179292273
BaseRepresentation
bin1111101001010111…
…00000010010001010
3210200102002211210100
413310223200102022
5114200400344201
63505305230230
7415105633101
oct76453402212
923612084710
108400012426
113620651733
121765192376
13a3b38a270
14599873038
153426b2886
hex1f4ae048a

8400012426 has 96 divisors (see below), whose sum is σ = 20784450960. Its totient is φ = 2428895232.

The previous prime is 8400012419. The next prime is 8400012451. The reversal of 8400012426 is 6242100048.

It can be written as a sum of positive squares in 8 ways, for example, as 2986731801 + 5413280625 = 54651^2 + 73575^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8400012426.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3694426 + ... + 3696698.

Almost surely, 28400012426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8400012426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392225480).

8400012426 is an abundant number, since it is smaller than the sum of its proper divisors (12384438534).

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

8400012426 is a wasteful number, since it uses less digits than its factorization.

8400012426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8400012426 is about 91651.5816884793. The cubic root of 8400012426 is about 2032.7937159896.

The spelling of 8400012426 in words is "eight billion, four hundred million, twelve thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 929 1326 1858 1989 2273 2787 3978 4546 5574 6819 8361 12077 13638 15793 16722 20457 24154 29549 31586 36231 38641 40914 47379 59098 72462 77282 88647 94758 108693 115923 142137 177294 205309 217386 231846 265941 284274 347769 410618 502333 531882 615927 695538 1004666 1231854 1506999 1847781 2111617 3013998 3695562 4223234 4520997 6334851 9041994 12669702 19004553 27451021 35897489 38009106 54902042 71794978 82353063 107692467 164706126 215384934 247059189 323077401 466667357 494118378 646154802 933334714 1400002071 2800004142 4200006213 8400012426