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268478929554 = 23117189643751
BaseRepresentation
bin1111101000001010010…
…1110101101010010010
3221122222202110201222120
43322002211311222102
513344321101221204
6323200523115110
725253105150643
oct3720245655222
9848882421876
10268478929554
11a39523a1560
1244049072a96
131c4185a7b34
14cdccaab6ca
156eb52776d9
hex3e82975a92

268478929554 has 64 divisors (see below), whose sum is σ = 600697866240. Its totient is φ = 79310000000.

The previous prime is 268478929531. The next prime is 268478929559. The reversal of 268478929554 is 455929874862.

268478929554 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2684789295542 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268478929559) 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 31 ways as a sum of consecutive naturals, for example, 95179 + ... + 738929.

It is an arithmetic number, because the mean of its divisors is an integer number (9385904160).

Almost surely, 2268478929554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268478929554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300348933120).

268478929554 is an abundant number, since it is smaller than the sum of its proper divisors (332218936686).

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

268478929554 is a wasteful number, since it uses less digits than its factorization.

268478929554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643927.

The product of its digits is 348364800, while the sum is 69.

The spelling of 268478929554 in words is "two hundred sixty-eight billion, four hundred seventy-eight million, nine hundred twenty-nine thousand, five hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 71 89 142 178 213 267 426 534 781 979 1562 1958 2343 2937 4686 5874 6319 12638 18957 37914 69509 139018 208527 417054 643751 1287502 1931253 3862506 7081261 14162522 21243783 42487566 45706321 57293839 91412642 114587678 137118963 171881517 274237926 343763034 502769531 630232229 1005539062 1260464458 1508308593 1890696687 3016617186 3781393374 4067862569 8135725138 12203587707 24407175414 44746488259 89492976518 134239464777 268478929554