Search a number
-
+
269066034972 = 2232719930717477
BaseRepresentation
bin1111101010010110010…
…1011101111100011100
3221201111200012210012200
43322211211131330130
513402021401104342
6323335054531500
725303464363360
oct3724545357434
9851450183180
10269066034972
11a4123842549
1244191806b90
131c4b010a4a7
14d046a592a0
156eeba9994c
hex3ea595df1c

269066034972 has 144 divisors (see below), whose sum is σ = 783797414400. Its totient is φ = 76236183936.

The previous prime is 269066034971. The next prime is 269066035013. The reversal of 269066034972 is 279430660962.

269066034972 is a `hidden beast` number, since 2 + 6 + 90 + 6 + 60 + 3 + 497 + 2 = 666.

269066034972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269066034971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15386698 + ... + 15404174.

It is an arithmetic number, because the mean of its divisors is an integer number (5443037600).

Almost surely, 2269066034972 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 269066034972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391898707200).

269066034972 is an abundant number, since it is smaller than the sum of its proper divisors (514731379428).

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

269066034972 is a wasteful number, since it uses less digits than its factorization.

269066034972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18000 (or 17995 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 269066034972 in words is "two hundred sixty-nine billion, sixty-six million, thirty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 307 398 597 614 796 921 1194 1228 1393 1791 1842 2149 2388 2763 2786 3582 3684 4179 4298 5526 5572 6447 7164 8358 8596 11052 12537 12894 16716 17477 19341 25074 25788 34954 38682 50148 52431 61093 69908 77364 104862 122186 122339 157293 183279 209724 244372 244678 314586 366558 367017 427651 489356 549837 629172 733116 734034 855302 1099674 1101051 1282953 1468068 1710604 2199348 2202102 2565906 3477923 3848859 4404204 5131812 5365439 6955846 7697718 10433769 10730878 13911692 15395436 16096317 20867538 21461756 24345461 31301307 32192634 37558073 41735076 48288951 48690922 62602614 64385268 73036383 75116146 96577902 97381844 112674219 125205228 146072766 150232292 193155804 219109149 225348438 292145532 338022657 438218298 450696876 676045314 876436596 1067722361 1352090628 2135444722 3203167083 4270889444 6406334166 7474056527 9609501249 12812668332 14948113054 19219002498 22422169581 29896226108 38438004996 44844339162 67266508743 89688678324 134533017486 269066034972