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269768138634 = 23319397727911
BaseRepresentation
bin1111101100111101101…
…1110001111110001010
3221210022121100100101000
43323033123301332022
513404441120414014
6323532455235430
725330051226001
oct3731733617612
9853277310330
10269768138634
11a4454099405
1244348978b76
131c592705247
14d0b1dbdc38
15703d535509
hex3ecf6f1f8a

269768138634 has 128 divisors (see below), whose sum is σ = 634191667200. Its totient is φ = 84765320640.

The previous prime is 269768138623. The next prime is 269768138639. The reversal of 269768138634 is 436831867962.

It is not an unprimeable number, because it can be changed into a prime (269768138639) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296122639 + ... + 296123549.

It is an arithmetic number, because the mean of its divisors is an integer number (4954622400).

Almost surely, 2269768138634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269768138634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317095833600).

269768138634 is an abundant number, since it is smaller than the sum of its proper divisors (364423528566).

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

269768138634 is a wasteful number, since it uses less digits than its factorization.

269768138634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2059 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 269768138634 in words is "two hundred sixty-nine billion, seven hundred sixty-eight million, one hundred thirty-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 397 513 727 794 911 1026 1191 1454 1822 2181 2382 2733 3573 4362 5466 6543 7146 7543 8199 10719 13086 13813 15086 16398 17309 19629 21438 22629 24597 27626 34618 39258 41439 45258 49194 51927 67887 82878 103854 124317 135774 155781 203661 248634 288619 311562 361667 372951 407322 467343 577238 662297 723334 745902 865857 934686 1085001 1324594 1731714 1986891 2170002 2597571 3255003 3973782 5195142 5483761 5960673 6510006 6871673 7792713 9765009 10967522 11921346 12583643 13743346 15585426 16451283 17882019 19530018 20615019 25167286 32902566 35764038 37750929 41230038 49353849 61845057 75501858 98707698 113252787 123690114 148061547 185535171 226505574 262931909 296123094 339758361 371070342 525863818 679516722 788795727 1577591454 2366387181 4732774362 4995706271 7099161543 9991412542 14198323086 14987118813 29974237626 44961356439 89922712878 134884069317 269768138634