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76000350426 = 237111323550177
BaseRepresentation
bin100011011000111111…
…0010101000011011010
321021011121001211020120
41012301332111003122
52221122042203201
654525235134110
75330234214450
oct1066176250332
9237147054216
1076000350426
112a260242170
1212890444336
137222606a70
14396d8b69d0
151e9c2b7536
hex11b1f950da

76000350426 has 128 divisors (see below), whose sum is σ = 212958498816. Its totient is φ = 17429575680.

The previous prime is 76000350421. The next prime is 76000350509. The reversal of 76000350426 is 62405300067.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (76000350421) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 136951 + ... + 413226.

It is an arithmetic number, because the mean of its divisors is an integer number (1663738272).

Almost surely, 276000350426 is an apocalyptic number.

76000350426 is an abundant number, since it is smaller than the sum of its proper divisors (136958148390).

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

76000350426 is a wasteful number, since it uses less digits than its factorization.

76000350426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550236.

The product of its (nonzero) digits is 30240, while the sum is 33.

It can be divided in two parts, 76000 and 350426, that added together give a triangular number (426426 = T923).

The spelling of 76000350426 in words is "seventy-six billion, three hundred fifty thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 23 26 33 39 42 46 66 69 77 78 91 138 143 154 161 182 231 253 273 286 299 322 429 462 483 506 546 598 759 858 897 966 1001 1518 1771 1794 2002 2093 3003 3289 3542 4186 5313 6006 6279 6578 9867 10626 12558 19734 23023 46046 69069 138138 550177 1100354 1650531 3301062 3851239 6051947 7152301 7702478 11553717 12103894 12654071 14304602 18155841 21456903 23107434 25308142 36311682 37962213 42363629 42913806 50066107 75924426 78675311 84727258 88578497 100132214 127090887 139194781 150198321 157350622 164502923 177156994 236025933 254181774 265735491 278389562 300396642 329005846 417584343 472051866 493508769 531470982 550727177 835168686 974363467 987017538 1101454354 1151520461 1652181531 1809532153 1948726934 2303040922 2923090401 3304363062 3454561383 3619064306 5428596459 5846180802 6909122766 10857192918 12666725071 25333450142 38000175213 76000350426